{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "然而采用Ariam等模型对金融事件序列建模效果是非常差的，原因就在于金融事件序列的异方差性。这种非平稳性无法用简单的差分去消除，其根本原因在于其二阶矩随时间t变化而变化。\n",
    "\n",
    "异方差描述的是金融时间序列大的趋势，时间跨度相对较长。金融时间序列的另一个特征是波动聚集，它是在小时间尺度下的波动特性（可以理解为小尺度下的异方差表现）。一般来讲，金融时间序列的波动具有大波动接着大波动，小波动接着小波动的特征，即波峰和波谷具有连续性。在高波动的时候，人们情绪高涨市场的势能不断积累，于是会转化成更大的波动；在低波动的时候，人们对市场的兴趣越来越低，市场逐渐会成为一摊死水。此外，金融事件序列存在波动的不对称性，在上涨时候的波动率会小于下跌时候的波动率。\n",
    "\n",
    "Garch模型作为现代的金融事件序列模型，是基于波动聚集这个特性建模的。波动聚集告诉我们当前的波动率是和过去的波动率存在一定的关系，方差的概念也相应的扩展到条件方差，所谓条件反差指的是过去时刻信息已知的方差。Garch模型认为本期的条件方差是过去N期条件方差和序列平方的线性组合，而序列是本期条件方差和白噪声的乘积。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-29T01:07:26.529544Z",
     "start_time": "2019-08-29T01:07:17.847488Z"
    }
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import statsmodels.tsa.api as smt     \n",
    "#tsa为Time Series analysis缩写\n",
    "import statsmodels.api as sm\n",
    "import scipy.stats as scs\n",
    "from arch import arch_model\n",
    "#画图\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "%matplotlib inline\n",
    "#正常显示画图时出现的中文和负号\n",
    "from pylab import mpl\n",
    "mpl.rcParams['font.sans-serif']=['SimHei']\n",
    "mpl.rcParams['axes.unicode_minus']=False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-29T01:07:31.356243Z",
     "start_time": "2019-08-29T01:07:31.344276Z"
    }
   },
   "outputs": [],
   "source": [
    "def ts_plot(data, lags=None,title=''):\n",
    "    if not isinstance(data, pd.Series):   \n",
    "        data = pd.Series(data)\n",
    "    #matplotlib官方提供了五种不同的图形风格，\n",
    "    #包括bmh、ggplot、dark_background、fivethirtyeight和grayscale\n",
    "    with plt.style.context('ggplot'):    \n",
    "        fig = plt.figure(figsize=(10, 8))\n",
    "        layout = (3, 2)\n",
    "        ts_ax = plt.subplot2grid(layout, (0, 0), colspan=2)\n",
    "        acf_ax = plt.subplot2grid(layout, (1, 0))\n",
    "        pacf_ax = plt.subplot2grid(layout, (1, 1))\n",
    "        qq_ax = plt.subplot2grid(layout, (2, 0))\n",
    "        pp_ax = plt.subplot2grid(layout, (2, 1))\n",
    "\n",
    "        data.plot(ax=ts_ax)\n",
    "        ts_ax.set_title(title+'时序图')\n",
    "        smt.graphics.plot_acf(data, lags=lags, ax=acf_ax, alpha=0.5)\n",
    "        acf_ax.set_title('自相关系数')\n",
    "        smt.graphics.plot_pacf(data, lags=lags, ax=pacf_ax, alpha=0.5)\n",
    "        pacf_ax.set_title('偏自相关系数')\n",
    "        sm.qqplot(data, line='s', ax=qq_ax)\n",
    "        qq_ax.set_title('QQ 图')        \n",
    "        scs.probplot(data, sparams=(data.mean(), data.std()), plot=pp_ax)\n",
    "        pp_ax.set_title('PP 图') \n",
    "        plt.tight_layout()\n",
    "    return"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-29T01:07:53.409050Z",
     "start_time": "2019-08-29T01:07:51.417997Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ts_code</th>\n",
       "      <th>trade_date</th>\n",
       "      <th>close</th>\n",
       "      <th>open</th>\n",
       "      <th>high</th>\n",
       "      <th>low</th>\n",
       "      <th>pre_close</th>\n",
       "      <th>change</th>\n",
       "      <th>pct_chg</th>\n",
       "      <th>vol</th>\n",
       "      <th>amount</th>\n",
       "      <th>ret</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2005-01-04</th>\n",
       "      <td>000300.SH</td>\n",
       "      <td>20050104</td>\n",
       "      <td>982.794</td>\n",
       "      <td>994.769</td>\n",
       "      <td>994.769</td>\n",
       "      <td>980.658</td>\n",
       "      <td>1000.000</td>\n",
       "      <td>-17.206</td>\n",
       "      <td>-1.7206</td>\n",
       "      <td>7412868.94</td>\n",
       "      <td>4431977.418</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-01-05</th>\n",
       "      <td>000300.SH</td>\n",
       "      <td>20050105</td>\n",
       "      <td>992.564</td>\n",
       "      <td>981.577</td>\n",
       "      <td>997.323</td>\n",
       "      <td>979.877</td>\n",
       "      <td>982.794</td>\n",
       "      <td>9.770</td>\n",
       "      <td>0.9941</td>\n",
       "      <td>7119108.98</td>\n",
       "      <td>4529208.214</td>\n",
       "      <td>0.009892</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-01-06</th>\n",
       "      <td>000300.SH</td>\n",
       "      <td>20050106</td>\n",
       "      <td>983.174</td>\n",
       "      <td>993.331</td>\n",
       "      <td>993.788</td>\n",
       "      <td>980.330</td>\n",
       "      <td>992.564</td>\n",
       "      <td>-9.390</td>\n",
       "      <td>-0.9460</td>\n",
       "      <td>6288029.05</td>\n",
       "      <td>3921015.420</td>\n",
       "      <td>-0.009505</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-01-07</th>\n",
       "      <td>000300.SH</td>\n",
       "      <td>20050107</td>\n",
       "      <td>983.958</td>\n",
       "      <td>983.045</td>\n",
       "      <td>995.711</td>\n",
       "      <td>979.812</td>\n",
       "      <td>983.174</td>\n",
       "      <td>0.784</td>\n",
       "      <td>0.0797</td>\n",
       "      <td>7298694.09</td>\n",
       "      <td>4737469.399</td>\n",
       "      <td>0.000797</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-01-10</th>\n",
       "      <td>000300.SH</td>\n",
       "      <td>20050110</td>\n",
       "      <td>993.879</td>\n",
       "      <td>983.760</td>\n",
       "      <td>993.959</td>\n",
       "      <td>979.789</td>\n",
       "      <td>983.958</td>\n",
       "      <td>9.921</td>\n",
       "      <td>1.0083</td>\n",
       "      <td>5791697.99</td>\n",
       "      <td>3762932.890</td>\n",
       "      <td>0.010032</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              ts_code trade_date    close     open     high      low  \\\n",
       "2005-01-04  000300.SH   20050104  982.794  994.769  994.769  980.658   \n",
       "2005-01-05  000300.SH   20050105  992.564  981.577  997.323  979.877   \n",
       "2005-01-06  000300.SH   20050106  983.174  993.331  993.788  980.330   \n",
       "2005-01-07  000300.SH   20050107  983.958  983.045  995.711  979.812   \n",
       "2005-01-10  000300.SH   20050110  993.879  983.760  993.959  979.789   \n",
       "\n",
       "            pre_close  change  pct_chg         vol       amount       ret  \n",
       "2005-01-04   1000.000 -17.206  -1.7206  7412868.94  4431977.418       NaN  \n",
       "2005-01-05    982.794   9.770   0.9941  7119108.98  4529208.214  0.009892  \n",
       "2005-01-06    992.564  -9.390  -0.9460  6288029.05  3921015.420 -0.009505  \n",
       "2005-01-07    983.174   0.784   0.0797  7298694.09  4737469.399  0.000797  \n",
       "2005-01-10    983.958   9.921   1.0083  5791697.99  3762932.890  0.010032  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import tushare as ts\n",
    "token='e0eeb08befd1f07516df2cbf9cbd58663f77fd72f92a04f290291c9d'\n",
    "pro=ts.pro_api(token)\n",
    "df=pro.index_daily(ts_code='000300.SH')\n",
    "df.index=pd.to_datetime(df.trade_date)\n",
    "del df.index.name\n",
    "df=df.sort_index()\n",
    "df['ret']=np.log(df.close/df.close.shift(1))\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-29T09:19:45.044714Z",
     "start_time": "2019-08-29T09:19:43.666397Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(df.ret.dropna(),lags=30,title='沪深300收益率')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "金融资产收益率的时间序列存在以下几个普遍的现象：\n",
    "- 时间序列本身的自相关性比较弱，但对其进行变换后，如取对数、平方、绝对值等，则表现出很强的自相关性；\n",
    "- 资产收益率的条件方差（Conditional Variance）会随着时间而变化，即存在条件异方差的特征；\n",
    "- 资产收益率序列的波动具有持续性，即存在波动集聚（Volatility Clustering）的现象；\n",
    "- 许多资产收益率序列，并不服从正态分布，其极端值较多，具有厚尾（Heavy Tail）的现象。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ARCH和GARCH模型的出现就是为了捕捉时间序列的上述现象。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-29T01:19:43.486543Z",
     "start_time": "2019-08-29T01:19:43.478572Z"
    }
   },
   "source": [
    "# ARCH模型\n",
    "ARCH模型全称是自回归条件异方差模型，Autoregressive Conditionally Heteroskedastic Models - ARCH(p)，是Engle在1982年分析英国通货膨胀率时提出的模型，主要用于刻画波动率的统计特征。一般先假设收益率序列${y_t}$满足某个经典时间序列模型（MA、AR或ARMA），以AR（1）模型为例：\n",
    "\n",
    "$$y_t=\\alpha_0+\\alpha_1y_{t-1}+\\varepsilon_t$$\n",
    "\n",
    "则收益率$y_t$的波动率（条件方差）可以使用残差项$\\varepsilon_t$的波动率进行刻画：\n",
    "\n",
    "$$Var(y_t|y_{t-1})=Var(\\varepsilon_t|y_{t-1})$$\n",
    "\n",
    "波动率集聚指高波动率和低波动率往往会各自聚集在某一时间段，而且高波动率和低波动率聚集的时期会交替出现。为了刻画资产收益率的这种波动特性，可以另$\\varepsilon_t$的条件方差与过去残差项的平方有关。所以，ARCH（p）模型可以表示为：\n",
    "\n",
    "$$\\varepsilon_t=\\sigma_t\\omega_t\\\\\\sigma_t^2=\\alpha_0+\\alpha_1\\varepsilon_{t-1}^2+...+\\alpha_p\\varepsilon_{t-p}^2$$\n",
    "\n",
    "其中，${\\omega_t}$是均值为0，方差为1的独立同分布时间序列，$\\alpha_0>0,\\alpha_i\\geq0$，且满足一定条件使得$\\varepsilon_t$的无条件方差有限。\n",
    "ARCH(p)模型能够很好地刻画资产收益率序列的波动特性和厚尾现象，但是其本身并不能用来解释金融资产收益率为何有这样的特征。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ARCH(p)模型的估计过程：\n",
    "- 设定合适的滞后阶数p。在检验时间序列${\\varepsilon_t}$确实存在显著的ARCH效应的基础上，使用${\\varepsilon_t^2}$的偏自相关函数（PACF）来确定p。\n",
    "- 阶数确定后，为估计参数，可以假定$\\omega_t$服从以下三种分布中的一种来估计：标准正态分布、标准化的学生t分布和广义误差分布。然后用最大似然法（Maximum Likelihood）估计模型参数。\n",
    "- 对模型设定进行检验。一般正确设定的ARCH模型，其标准化残差是独立同分布的随机过程，因此标准化残差和其平方项的Ljung-Box统计量可以分别用来检验均值方差和波动率方差的设定是否正确。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ARCH模型的建模步骤：\n",
    "- 检验收益率序列${y_t}$是否平稳，并根据其相关性建立合适的均值方程，如ARMA模型，描述收益率$y_t$如何随时间变化，根据拟合的模型和实际值，得到残差序列{$\\hat{\\varepsilon}_t$}\n",
    "- 对拟合的均值方程得到的残差序列{$\\hat{\\varepsilon}_t$}进行ARCH效应检验，即检验收益率围绕均值的偏差是否时大时小。检验序列是否具有ARCH效应的方法有两种：\n",
    "  （1）用Ljung-Box检验残差平方序列的自相关性，即将序列的平方值作为波动率的代理变量，若残差序列有自相关性，则说明当期波动与过去期波动有关，初步判别序列有ARCH效应。\n",
    "  （2）用Engle提出的LM检验，用公式表示为：\n",
    "  $$\\hat{\\varepsilon}_t^2=\\hat{\\alpha}_0+\\sum_{i=1}^p\\hat{\\alpha}_i\\hat{\\varepsilon}_{t-1}^2$$\n",
    "  \n",
    "  检验的原假设为：序列{$\\hat{\\varepsilon}_t$}无ARCH效应，即$\\alpha_i=0,i=1,..,q$。备择假设是{$\\hat{\\varepsilon}_t$}具有ARCH效应，即至少有一个$\\alpha_i$显著不为0。\n",
    "\n",
    "- 若ARCH效应在统计上显著，则需要再设定一个波动率模型来刻画波动率的动态变化。\n",
    "- 对均值方差和波动率方差进行联合估计，即假设实际数据服从前面设定的均值方差和波动率方差后，对均值方差和波动率方差中的参数进行估计，并得到估计的误差。\n",
    "- 对拟合的模型进行检验。如果估计结果（残差项）不满足模型本身的假设，则模型的可用性值得怀疑。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-29T01:20:09.819858Z",
     "start_time": "2019-08-29T01:20:08.799360Z"
    }
   },
   "outputs": [
    {
     "data": {
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NDQ0Njb0LmiBrdA9ag6yhoaGhoaGxl0ITZI3uoYdxkDU0NDQ0NDQ0dlck+jMz0zRx2WWXYejQoQCACy64ACNGjPCke+GFF7BkyRIcdNBBuPDCC/uziBpR0cM4yByUEBgxPU/T0NDQ0NDQ2H3QrwR548aNOOWUU3Duuef6plm3bh1WrlyJ22+/HS+++CI+++wzHHXUUf1YSo1IMHopDrJpOtZoDQ0NDQ0Njb0GtLUZaGmCMfKgXV2UotGvBHnNmjVYvHgxli1bhhEjRuDiiy9GPB53pVm+fDlOPPFEGIaBo48+GnV1dZog747orTBvxARQ0uPiaGhoaGhoaOxeIOMuBbo6EX/01V1dlKLRrwT5oIMOwg033ICamhpMmjQJS5YswfHHH+9K09XVZUswKisr0dLSorzWnDlzMGfOHADAHXfcgdra2r4tvIYL6cpKZACUp8pQ2Y1nv9363Kd6IGIVVb1WrkQioeuCBgBdFzQYdD3Q4NB1of+xvasTAPbI596vBHnkyJEoKWHWwtGjR2Pbtm2eNKlUCrlcDgAjy9RnCf/MM8/EmWeeaX9vbGzsgxJr+IF0skrfkUmjqwfPfueOHTCqsr1VLNTW1uq6oAFA1wUNBl0PNDh0Xdh12J2e+7BhwyKl61fx59///nds2LABhBAsXLgQI0eO9KQZPXo0Vq5cCYBplgcPHtyfRdSIit6KYmGaPS+LhoaGhoaGhkYvol8J8k9+8hNMmjQJY8aMwSGHHILRo0fjoYcecqU57LDDsGHDBjzxxBOYOXMmTj311P4sokZU9FYcZE2QdwvQpkbQ+s19mgeZNxv080V9moeGhoaGhkZvoF8lFiNGjMA999zj+u3SSy91fY/FYrjhhhuwePFi/OAHP8CQIUP6s4gaxaLHUSwKvVMOjR6B/OkCAOhTRwr6zGTQPs5DQ0NDQ0OjN9CvBDkqkskkvvGNb+zqYmgEgVuOSS+EedPQ0NDQ0NDQ2I2gA9DupaCFfrLM9kqYNw0NDQ0NDQ2N3QeaIO+FoNs2g/z2f0EXfdiHmXALck81yFpioaGhoaGhobF7QRPkvRB01Wfsc3ldH2bCP786EgsyfQrMi/+/XV0MDQ0NDQ0NjT6GJsh7I1qb2eeAGuVhSmnPIxb0mgV5zyHI9O2ZPZeUaGhoaGhoaOz20AR5b4RNkKuVh+nc10Fu+B3oFyu7n4dtQf7qEGQNDQ2N3RV01eegPTVYaGho2NAEeS8EbbO25zZ8EqxbxdI11PcgE25B7iHB1RpkjQDQhnrQnQ27uhgaGrs1aN0nIPeMBX131q4uylcOdOki0Fzv7QarsftAE+S9EdyCbPpYE7hu2PBj0BHALch+eUSFjmKhEQDy1N9B/vHwri6GhsZuDdpkTSLrt+zaguyG6MuITnTzBpD7bwad9mif5bG3gPbUX2kXQBPkvRHpNvbZl9bZXrMga4L8VQMtps50ZoCOdGASsmAeyPOP9bBUGnsSyPy5oEt3710Z+5UQ9MTYsReDfraQRXTa9EXfZNCRYfls1xMTETSXBXnmAdBMu/CjJsgauwN4RfQjIr1hQeYm5J4SXC2x+Oohl4uetlBg/wJAH70HdM6roNp69pUBfeJvIPffvKuL4Qu68QuQ3/0EtGVnf+fcz/nt3uCTKLpmRV/l0EfXVeRUyIMunr9HWGLpR++CznsLdOazwo+7f7llaIK8N8OPvPYGQbZ20CvKGqgqSk8lGhp7HvJFEGTTDE9/0GEA0LdxvzU0ikHDNqCQd+RufQ5tQVYiXsI+zfyuLUcvgL72PMiDdwDLluzqooSDKnba3QMjQO01BJn88xWYF50FWnAaAs12gUx9GLSro9fyoV2dIO+8tmd4C/tYZ6k96+0FC/JXcKOQPWEG3130y70V49BSyAP5kMGtvJJ9ist5ewBoLgvywuOgXZ27uihFgxYKIC89BRoif/mqwh6H+muc4F35Xtw3dQuJBPvsKx1yfz5uazWi/1clegCRYuyBdXOvIcj0tWnsj6ww+K5fzbx6ragNvZLP69NApz0Kumh+r12z18ErYl9aZ2lvEeQ9UIO8Bzb0yOiPWX4xEguzEG5B5scLu4+ViDbUgzw9CTSgftN/vQH6z1dAZ8/onzJ1ZGBee0HPwjvyay18H/TNGaAvP9MLJdsLwQlZvxlSLCayB/VNdNM60C2b+jaTvibI/YkSyxpezArc7gSy59RNjr2GICvBG0URJIxmszAf/Kt/aCneAe3c3sPC9SG47CHEOtszCXIvaZD3xCgWe9AgVDT6Q/JSjAU5isSCE+PdaBAkj98H+v7bwPqAyTlvO/01SVy3CmhuBHl1as+vZU9K2DOni+aDbu1jsrMnob8J8h7opEfGXwVy02V9m0mCSyzC+wbaUM9WoVcvi359w/NH36GklH0WY2DYnaAlFrsQqvrJB84ilvFp3cfA4o9AZzypTsA332htKap4/QoSEmGiN/hdmCNg4KlCAXYDiQX5+F0nTFIU7IENPTJ6MKCbt18D87KzwxMWJbEId9KzJRj9aFmhbc0wb74CdOcOdQL+HI2gLrafrX69SaIkPwby0B0gf+ljsrMnob8lFhw9rEu0oX63jw5SFGwLcvjqEl35Gfuc/0706/enrSRu9SWdmX7MtDex5xmW9h6CTD1/OOSrGKuY3fH7PJrKAeyzbXcmyGGWqd6Ig9x9guwaNHpoPSOvTQPdvL7b59N8HvTxCSD3jC3ipD2voUdGTyz661cD2S7lIdekKF+MBTkfXWIRplXuRdCP3wM2bwCd85pPAut+YwFdrN38+rk+9Ub95W046P6+yuBjT39Npntp7kPfeQ3k0Xt752K7A+JFSCz4WFRUne6NiFARwQ0L7W19n1dfQEssdgMIL4FaAyYtxkppd/x+FZ79Ttv6yzu5G+ATAr/7tgfIXiDI3SG4vUSQaaEA+upUkL+O6fY1bELY3FjEObtHQycf/wtk+pRevmgfLfeLpKwoDbIJFPLBzoOWdYj2pwaZ9w9+BKiYSDH9VZ2KbO50/Rp/B2caxUL+FcaeqkHO53wnubsSlFLmcL9+dXEn8vYXhQPQbkz6+PvtD6NJF3svNN3a93n1BfZAw9Le17uJA5ZZvAY51ILMr78nWJD9OudeCWJhXeSLlfbSVGT0lgWZv4ueaLJ4/sW03d1EYkEfvw/07Zm9e9G+0sOK7zwiCaeUOuUJIr/cctyfBJn3D36dPr/HIIJsH9v9GDLNdoHc/keQh+/ySdCPlrM9Ef0exaKXCLJZAMxCoHPpLkEuB/ruLJC/Xqs8TN5/G/RzhTQkSv9hX4QT5Hh40mmPgjw7uV8lNJRPXNr3VIK8e4ybxWDvI8hihc0Xr0G2BzY/CzK//u5cSXkZfZeVetGCDIC89o8izxU6355okHujc7LJWhEDS5H50pYmmL//KejGPtrNqTfRVx2+OHBHzUOsGwqZBc1lQdvbdpGTXkQLcmAb20WRB6Lkx5dzly5WS5hCrG10xzbQYrTmexu482KmHeTtl/ec0JCcUBYjg+oP8Dbu097o05NAJio2juH9e5S+oQjZEH3nNdD3ZkebCEcALeRBm0PCt2WtcJAde4IGmfdtwk97ShsQkOjvDDs6OvC3v/0NhBCUlpbi6quvRiLhLoZpmrjsssswdOhQAMAFF1yAESNGRMtA5QBWzLJxqAXZOr4becx7YFuQ+2EnPQDG6MOKO9U1iemB9bc3yJxtQS6i8RbZ0OnSRUAuCzr3dRi/vrKoc/sdfSaxIMKfJNrUTGxjCgsQmXAjsHYFkCrzTdNnCDP+9lYYxF0FQc9Nbr4S8UdfdR8PcEKkhICMvQQ48njEr7ixL0u5+4LX3U8XgC58H8aRxwP7De+HjHtqQbbafy4HpMp7XpwIoJTCCBuLujtOmMEEmRIT6MjAqBzg1Ol4sAWZrlrqfInYvs2LzoJx2g8Q+8Wl6ms+MRF0wXuIPTgDBo+8IYNbkHcDx/ZuQVuQw/H+++/jhz/8IcaNG4fq6mrU1dV50mzcuBGnnHIKbrrpJtx0003RyTHgfgl2FItuEGS/WaStOeq9l03+9QYLL9PNmSElJsiUv4Fu3uBelg67757wY1GHGzDjppvXe60nQqdCt37ZgzL0JkEu4pxi3/2eNHPuF4lFdyzICvK7doX7WD866TkSixALctCEo98VFkU0+DBCYveTimvyfleKhmCO+y3M2/4YvQx7Mrgunj/Hvram8z5YUZdoIQ/zorNA3n0j9DK2tKI/rf9RjE09JMh+/gn0+cdBrj6XbdZjW4MDxrPODpB7/uy5fhTQfznPn7Y1g7zlrCzYu4AGXa+rKzzN7ow9aBjk6HcL8ne/+13777a2NgwYMMCTZs2aNVi8eDGWLVuGESNG4OKLL0ZcmtXNmTMHc+bMAQDccccdMAwDFMCg6mrEa2sBAOlkEhkAFakUKqzfwtBRXoZ2AKmycgxQnNNRUY52sLGtNuI1w9D47hswAdTEKBLduGZh8wbs/GguYpvWYp/7nwMPPJVMJFCtuF5zMokcgKqqKqS6eQ9tqVJka/YBybSjrDSJKsV1csvr0Hzzlai64EqU/+hn9u8kEQMPqhbbsr7bz5GUxO3r8GskEomirmeaOTD3PBp6Ho98vU9NDWIDayLn0VFZiXYApakUBvZSnRHL0xv1kF+rprq6W3UwrDykI2O/q6qKCpRFyMNMxMBdJ2sqKzzlsiORW0Q6TomdNzULQON21NYOLe4mIqKjqor1E6UpZT/RGIvBBDCwqgpJn3vNVFQiDaCsLKVsP8p835yBWPU+SJ10WtFlzg4ciBYAJYkEBoXkl0+3oEn4Lr/TTFkZK3tFBapqa13vnmTa2bs2Yq7ztm/forwWAJhNjYgPivYMKKV2Hxel7hfbJxQLapqAWYCRLLV/a0vE0QkgGYshB2BgWcq3HvQGOquq0AagtLTU08eYO7ahEYDx1kuo/en5gddpiceQBVBT4W1vvQ27P62qQKzSywNEFLrS4AIE1bv063vSqVJkACQNoKa21lMXGhZ9yHhDRTk6rbRllZW+7ZG0t0EMCFpVUYFWACUlJb5tihLiqa/NE29G7vNFqDnldJSMOhjbrT5sn+qBiFVUKa/TWMjBBLNq9mV97g10VFaw/jGVAt8ndFBNtauN02wXdpzzLVT95iqU/zBCeNBuovX+W9D1r9kY+nLxm7v1O0HmWL16NTKZDA455BDPsYMOOgg33HADampqMGnSJCxZsgTHH3+8K82ZZ56JM8880/7OZ2JNO3fCiLElCtLGdMKZtlZ0NkaLUkDa2Ha1XbkscopzSBsLsUKJicaI1wyDac1um1taYaTc16TtbSAP3IrYBVfBGDJMeT5tZ9u9mtksGnc4cVmznR3KMprWboPtra1Id/MeSGcnKKGAEUdnOo2s6lmtYZskpFd8ho6TznDK22INvYP3BWmoR8P6dTCqgjtIFWirE0mE32dtbW1R74XytJRGPm/nzkYY+eizeNLO6lQ2m+21OiOiN6/Z3NgIoyRV1Dl05WeuONKNjY2g7a2gdZ8g9s3vsDQZZ0vi9tYWZKwy01wWKORh8O2ixesK12zesQNGaUVgOcxsl/0syIynQGfPQOzOx2EMGlzU/UQBsVZ7ujo7lP2EaVmzW5ubYPi8H9LBIkR0dnYq248K5iMsBFdaljxEAG1hjsX5fD60ztAd7o2Q5PS8Tnd2dbnK3tjY6ET4iRnKfOTf6PIlIBP+gtjvx8I45sTw+xCs8lHqfrF9QhjI3NdBZz6H2IRnYcTjII/eA7pgnkuGQqz6nutk77h1xw4YQ3q/7dv5WWNAtqvT+3w3bmBpKipDn4PZyehM8456GGXeNtlbEFcVd27dCmNQsIWYCuNa0D146mma1dNcOo3GxkZPXSCcNzQ1gbYwvtDZkfFtj1Tazr6thdX1oDZFBQs5T2NaeuOWpiYYlc55O3fsgFGltt6bVp9D8rk+GUd6EyTN6mNXlxMRpalxJwzirDjRhnoAQPvMqej4xrf6rCzmv2YDcNeNYcPUXErGLnHSS6fTmDJlCn77298qj48cORI1NcxCN3r0aGzbti36xV0Si+5EsQjxZO0LbWGAJpiuqAO+WAky/Qn/83lZCwUpQkTI0lVPlv6KOSidAAAgAElEQVQpZeWNx8LjLctaDl5Gbt3rbtiaXnXSK+acbj63PcHjvxvPg9w7DvSJ++3vlFJGGp6eBLpjq/WjWmJBbr8G5Mqfqy9c8DrpUUpBly5ykSQnvbOMSld8yv7osw19Qhzs+P1G6Xv6QIJD67fAfOB2Z4kfKK69RJVYqJaj8wX/Y6pLbVzHPtcuj1a2/tjtMQD0H4+wzRosRza6YJ43Ea+7XPZjSRZoPg+6eUM/lFJAu9UGKgeGpyWCBrkvIY5NuQhh5cS2XUx74XUlTDJCqeOYGNRm5TYUpU2pZFh+EqUguUl2D5RYiLfnJ7Xsp1jq3XGU7XeCXCgUcN999+HnP/85Bg9WW3b+/ve/Y8OGDSCEYOHChRg5cmT0DEgPCbLtfBISxaIvdKWKPI0qq1OLEv/RLLgJjt99c91TT+L5UmIR5ETxpIp3GNwZQdHJmOOvAnksJGC9T+dEN66NPgh1x+Gh6HdfnFMkmfs606R/sRLk5Wf71wNe1IdT2r3YwoQAfJWAEwS/KBZbNvpfR6y//DqfLgC5/2bQOQoLqqhB5pKsvnI6DAurFWUi3YfzJTL1IaDuY2CNsG0ufxaRolhEJciGt37yOhN1Qsh3CIvaT+9Cx8eoEw673XAtMifIz0wCufkK0AhRkOiX62HefX003xTep6o0yNZKW6RVuv7SIItEMBshL7FtFxOnmffvfiRcDLXI7zmIpHoIcoQ6q6rXfk6uPuMRpUL59lTHX3miwJ9diFNkr6EbgRX6nSDPnTsX69evx0svvYSbbroJ06dPx7Rp01xpfvKTn2DSpEkYM2YMDjnkEBx11FHRMxA7625sNR3qpMdfcm9uFhFEynl+rQEbk4ihbKIQZPna3QEFK28sHkrEPfclewurGvymdaCfvBdcBp/Oidz6B5Cbrwg+l6M71qiinfSKTG7FNiZ3XAv6xguesD60qzM8JFB3QUzQbBZ0xaegs14A+e3/+W8W4YdCwW4/5KbLmTVXfMdRn58pDIqcaOy0ZBeN2wFB84lUmTuKBW+/Ut0iH73bO45isZA4yJF2mux5mDe66nN7qdIF4hAm2rLT/VuUChlGkETrj/w+bYIccXjhu51FJsi70IK2Q3jWUt2iKuMMfxZ8BWTV5+x7BAJKHrgNWL0MiDLZt+uQ4t3ysSNE5wvAGSv7OsybOCZHIbxi25ZkDoHgdSXMgZcQZ1IYZBTojgVZVV9tHiGd79cGCInYp+zGkPs5e+fCfiLI3ajT/a5B/s53voPvfOc7gWlGjBiBe+65p8gr88qj2mq6exZkunkD6IY1iJ36be/x3gxZ4jNA0kJeSeDMu68HVi+D8fNLYJz2A+d8s+C+17Awb0K+NN0G0IhWBkCwIAdILGyCLP1uPUMjnmBvTXqWNKqFoFeiWLgnT5xMGNX7+J9TLKEpNqye3EFL55FJtwJ8oO1tmCaTRix4zyGBLc3AvkWEfDILrjKT16chdtE1zvGo700hsbBjaMfijCBzopEqB9LCFqw2QXbXTTplAvuMEloqEBHjIAdakHtuQuZbpHvCsPFVorqPQSfditi9T3knCzOeAvYfidg3TvNcl4YNJq6oJD4WZN/dSCUUa+3flQShRZiYqsgSr3eSBdmup7w/jzJ52GnpbqOMNUErm1wTHsVSx6M+5HJ9ucDhbttRJBai5b4oCzLfE8CP9PKd9szuWZD52BfUllVGGCKM2a60PnmLZSrC4EemTAAOPwaxk06PfE6vQFUPPRKLviPI5p3XwRh+IGI/v8T5MZcDioxcuPdtFCJuQtGdjUKELVTJzVeAPvV36XgwOaJtzaCfLoyeHzvLc2365Xpmvav7xJt8NVs2pVMfBpbXOY3WlDXIIdpgoeMlV58L8odziytydyUWvIw8/rXc6ezcgUgIIVqRpAlS2cmYX4OM+XWP8vXAfg9RCbJUX+X7kMhxTyUYLssXIaBfMk2oPdjzAPVRYZruASOekAhVVAuy826o3ZaF1QfRglxW7t6S2lBbkIsugx9oACERr+/TNujqpaAvPxt8jWKL5LIkWwS5tZmRg0zaI7Ggs2eAPn6f+mJhEgtxt065/DaZiVjf+QC5J0gsggiyahdX3pbt5fFoMheXkSCK3CFIYsF3fY3y3EypvH2FEIkFXb4EZNYLQnqB4BZTtqgWZEoc+UwgQZbqKPefCXqfQRZkuc77tQG+mlaSLGrVk370rm0U6Feo6prHghwt7rTnMuvXwPzzxS7Hbw/WLgd9dxboYiFyRTdCBe5FBNnqjFUW5GI6VIXEwqXDFDWaiuuSe8aBTBrv8lwNBVEQZGv7ZrpUsX2mWNxMu2BBNiWJhU8ZbOuWt1HTLRtB67eEl5lbkIMkFjb8JBY+BLnR7UHvi7D32hlBGtAdh4diVw/sJeci03PI97n/yODjxULeBpo/E74BR7Hxuc2C20KWKPHXIFtQknyVBdkVq1Q4p7zCyRvwlViIZaTtraBR9I8q2AQ42EmP+gxm5O4/CxOPnhNk8sl7IH++2HFO5OXi91fIO/1VlOzCBhOxb5XbQ75YDTKXWETsM3elk1KLEPwuaHlc3v48JzmAhRkV2gTn0igW0yCJRaGIcdDeSa+vnfQEpzvF/ZEJfwGdySaQNJcF+debzsEQgkxbmkDXWA6fpiR1kcGrqEkcR0ozgEzLq52vTA0sC7t2gAa5WAtysnTPkFio+hq5n5D76qiXnv440FAPbFwbnvbBO5wvX22CrCCZkgWZFvIgC98PtripPCs7BQsalciEjG3Wxhfd2ZxEvHanRUpKU0IyRblbmkDfEzoPMV9f6QP/VBD8my4HuUEdXcRzDcMAYjEnuLwf5IGSW/n5zFG6L8otyCXJkDKE5NvaFHwc6N5gW6z+vFinJY8F2V1GQ96Rq7esoQB7Hrzj4sSlI2CmroJsQU6oLciy5dp7HXEnvZw7XTzutgqVWWtn9vK+tNQto1AA+cN5IHf9KeRmALp0Mczbr3HX87AtyqmcLiiD8CShsAYLuolvZ84JstV35XLF1ZMwC7JIujxOekUOfDZJ2f0tyC6JhZ/TERBuQQ6bDAgEOdIkzkdiQVcvdUh9MQS5Py3IIc+CvjrVvWoWUjZy3YUgd11nXTtMYsFPIg6BKkZiwRHUt8urlO/NdlZJo1qQeZlKSwFK1VF8dgPQpga2YhHJgszHmSIlFk1WuLZEkQrhrzZBtqAKc8Z1Va9OBX3kbs8OT8rzRQuY6KQUScKA8A5QhGq5lls/xWVkxTXp9Cmg77xWfPmEtCpLeCgoAWCwyq1orOTdWaBPT7LSUtBFHzqNOkxiwS2W4r2rELbUFMWRzW8J3LLgqw92kyBHJdbye5afj0w8etOCTIkwSWQdF820s90aZ70AGskqn3eV0UiUqCeWXcLEs1AAXfQhi97BHfFcO+lJ/gSxmJvE8WfL09mhD30GRn6dTevsn+jaFUyLL4FMmcCiyIjOQWHRbPyccNSJ2f9frg9eNgwCjwgjRw3hzzifLc7yFKZBtnegVFiQi50QRt35k2MXkgOXc6zHghzgpOchyCH1ol2wIAcQQtpQz2Q0CmMHpZStVHBLW1ESiz62ILu2kfcfKyml3hUs6Xl4DEdivyGMOWpSaTjphNUWX3SnrxXDWn44B/TZyUJZZYLs8yz470nLYCbVH9reBnPMr0DXrym+fCEgH/xTmHiHpP3Tb0D+eL76OcnjH++ritAgU0KcyUVULTrvh7pRp/c+gqzaapo3wEb2YAPD5thxkIXOXSQFYmMMJMjdsCCLFYhbkEUrahTZhkjwfQcSydreGbyETjPtIPPngm6QGl/M0iAr7pVOfdj5e+H7IA/dCTrnNXcZ/SQW9vJtNIIPAOYNv/Vov2lQ5A/7RJ9IGPeOA12+RH1OsRKLIrTwSgdFeTCVyxxmSQ+Da1JFnOfOSW4mDSz+CHTms6AvPRV+PdN0k/hEwl23+fMT652ZB/nwHfY399ovKCzIYpzyQg7GyWfAOP5UGF8/xkrntiBTP+2htIxKKQW5808g997gTWsvh5re33oS5k1IS3NZkFuuBHn07vD0KnCCXJAIMq9PLgtyL0Sx4M/PND0DH5Wt+GHgK3yyQ+Xa5TCv/oV30rIrLcii9CEo5JfspJeVnPSIyd75Q3eCbt/qyYa2CWHgApzYyJ8vBrnml+pnIhO9KP1Wf1mQXSudTjv3RGQpFDyGEiqXTbgvuc931al8iGWYP+c+tCDTJye6j8l9uV/eosRCuiYA0LqP2Wryu687v/WWb8NTfwcZf3VxJwXprjm6YUGmM5zxh3ap24X3vq13oy3IcA9YtuXOsiBbldEIeiHdsCCTt2eCyHFZg3RMfmUWiI5tqRM7uSikm1fMkpLw6BL8MyAmJ127AuSqX4A+8TcQMTwWsSzIsSAiboF3aHxnNJkgeyxQ/lYM2lAP86bLWUcq5lu/BeQfD7sTR4nhG/BMydMPgLz0lLfBddeCHGVVQWWhlTtDT0fTyxpkiRDSf70B8vBd7LeuCA578n3KGmReXnGiqhoYXBbknKtMoJT9PXgoYpdcC/DoKzI58+sU/Sw3m9d70/LnLQ7MfPXFj3SEOOl5wC00O6JviuSqlyWcIBf4QfZpW5Dz/SexKFaD7GNBpts2A+l22yeBbl7PfDv60YJMCwX3JEuc1AVpkG0LsiSxECf/274EXfQhyJ0KmU93Ncjiu5DfYTExe/tRg2xPkFYvY4R//jvOsXzOu5IoE2TxPQgEm4r+FIBnPCDvvOZIZojpSMmC+mm/NhQ0JgT1zx4NcoiTHn8W8nl8kiXuttsLkba67aOhzJuCbt8KyvukQvEE2eXALziPkzmvgrz1MvsiPxveDWmCDHcFljcKiRJWRFXRO/0IstWw//0B6CJpn++itK0qC7KVp9gZRCHdPN9kMpyQ8UqsWFa2k6xbqf4d1IpiEcVJj58kWdX8JBYCofRYlRbMA7ZsBP3nTG8jTJW5SUMUi21Q2XfuAH1zhrdD7q6TXpQVAFUj9hBiqcyi4yilxTmISueDEOf6fGLYJG5r6iY9yrxM0z3B9ItiEUKQXdfOuye7NmngKyyyBdXWIEcImyReXwVeXlF2EBaNoKid9AC6jm3Lbow4KDy9nAcgEGQfC7IosaA03LoU6qSnlljQQh70o7nWN2Fb2SBybhNk+Z1YZUi3g7bsBLn5StB/PNyvFmRy0+Ugv/s/54eOjOMQGmRBlsNHyn2IKZA3y0BB021OuvZWlk9JMpo1V+Ho7ZHJFBOzN6IFmUapSyooJBa0fjP7vnaFcyyfc/nhAAC2bXH3DSIBlX1wFASZmibb0XDao+60vD8K6j9DJsS0IwNzwo0w774e5ON3rWP+fQA1TeleQvqrUk6QJYlFgzWx5nUTKIqDUNN0op2ICOAGgVCtVhEKMu5SkIk3syPFxkuHxTv45mkCeafPPwb64hMsZr/cl1sTdaolFlBKLKgcDzloxqLScrkkFj5aSnlACXM8KORhXnQWyCtT1Z0bb6zidQtFWJATyfAGwvMLagRBVmifMG/mxFt8yiYtS/tJLMQOoyPDrLhc/8kr+/at3pl5WXk0J0VXmSKkka2m3XTSi0RcVWlU8VZFiCsPH84B+e3/grpILUDXLAfNpN07ganOT7c5lhSVtVg2CqquVyi4JUqyBpkK7YZDXGZtrLdigCssyLzz4+TdIsgGJ8q5HNPhrV1p58GdPslcZ/nRQwD49VWdNX/eLs1zmMSCf0bUIG/dxP6sqPRP5RcmCQDiPhpkvkGF7KQX1jZCBhMqGh9Ex+jZMwCu3xfrQFA7sw0Y0rOy7oVm2p2/ly1xL1lL51DTBF1e1yvLy+ZFZwHbpYg+HRmgoopn5j4mlkUepPM5kDemC2lNV9uhpslCbXJrcrqd5VNa6iYCmTTT6f/7Aylva7WH69nFnddU5fNDkWHeyGVng4y/KlJaF1SkkBtM5JBukkGLznkFdPoU4Qexzxc3F5JWG6zrkpsuA7n8Z+7ydGac59MdiQX//YuVLPTq6mWgj1vh1QLrfsHdh5qmWisdIrGwN7ApdvyzQKc9CvLH870SPx7GrggSy/JW9I+8L+QRRvg9ZTud8T3KdcvYJIDOeh5UWnGjny9S+E9wiUXx1vC9kCCLEgsfC3KgXoi/WKEhWIMxrd8Cumqp8zu/brbLu5wfRoYsRyT6zqvC8piYJ/c+Fy3IEQgWL1MUiYVF9Gh7DwhyTLFRyOf/9jmHMIstb4RWh0jbW0HenukMaiJZWjwf9M0ZoC9YHSKXaWzf6u0kUuVuAphpB/10QTAxjfJMZaJYtMSC18NuWpDDNMiiBdnSYdO1y53fVnwKctd1IFf9HOTWP3ivL57PHSt9QD96F3TxR0J5FZ2OfJ/xmNKCTLM+BHnao6BPTZIIsntHMnuFhRNjPnDksyC3/9GOYEJfegrkugtBOzKg/3jEuZ48EOQdyzNtbwV5fZoQFs1635m0o5EMI8gq3bIfKFXq1On2re7l/cCJEm87kvaVI59zlzmkXPJGIeafL3ZbQf3CvIkaUHFQjeLQ7LEgW/ll2p08RCIDePoA8vCdIBNutJ0v6fataLnjevXE0ALdtA7mVb9whbeUSQpZMI8t4Rbyzo50RViQkcuCvvyMcJxIxg8rPS93rgsoLWNOWWJdtfT55B1hsgcIY4hVlIv/B+QxKca1K0SpCdqm8NHgsqqoy9G5LPClI0sis14A/XRB+HmuCDVS1ByXdTmvXDml4hjjN/ErFNzfeVuq3+K18Isyw+446fF3nxR8hnj9D/NVEtoVeeExkEt+bPc9dN0qkA/+aZfXsCUW0jWlTU5o806QP13gn68FSikoIaCLPmQ/yDHvOTfgIT+jgkqcSyibDf5eVy8DueoXEa9LHCt6eyvI38ezv7nlPN3mvxoYFgtbgb2PILskFtKybJRBS+kwxyoNueG3jlYQcBpZtkthQQ7Qtr45A2TcpU5+vPMvFByyajvXuAel0JBq/FpB8RJlQh4U7UHWBYpaNy6xWLca5j1jnW1UfctGQSbeAnL/Tey7ZcmnUyYwiwAPkSc2JKts1NKG2pbRQt5jnTPKyl2NgL42je06t9SHsCvuTwl5q+UiJRZUdtgJQoiFV5m/UOeNofuxP3Y4jj9U3KqWWyp9zo8C8uBfnS8qS6NpujsjWafK8xMHfqnzpIs+dH5LJEA3fcHIqWVNs3VsXFrABw4/y6f8XGXHJ348FgOt+4TFN+XxuK3ykgf/ymINm4JOe/1qZtH7cr17ImZHsYhmxZFXuWgmDTLuUtDnHnQSyddSbSvPHZFUFvIoMdI55MGsod7ROYrnE+LuK7nUBXA76UVxaPYM+o7Ewi5PZ6d7wijX3SUfs0+rzZKpDyP7yXuBO0+SqQ+xyfQXK5woFXJ9fPw+0BefYF+4BTlKFAv7XmSJRcFdV+W+IdvFiEBpipFlDr66I680SDIrACzyil+a5x4C+eMvFdKP4izIMujMZ1mfC4A2bgf9Qi3Rc1uQTRY1iDvWinUzl1M718WFEF8uiYV43bzSgqwEX0VNlnZPg6zSbu8z2DonoO4TN0G25WyW3IH8dQzbrMyWWPAoFrLO1nD/Xr85Wvz6uk9Arj5XkAFK433aS5Appe5oLirYPhgKPsYR5DTpB9N0ryjYO6wK3+W+3tYgawuyJLGQLcjWrCzQoiho6zhkgiSnzXYWZUF2RQKg1Jn1T30I5A/nMmG8GL9UvGZo+CWu7w2wIIt5A0Bzo71s4Tq8fAno69PcP/Jy2RbkOHtWqz4HmflceH5iZIh4iXTc+hSeHeWEjluO+Weh4O2sEiXuTV34NYIcy6KQw96yIK/4FPSzkF0WeVpRSxbkDCQf52GARDLT7taW0c3r3d7ePdF0yl7nAOuk5c11qILUCAMDXb+aLU1y5HMOyS6rANatYuSU13/LgmyUWMSYW278BnZ50Uh2Pik4BNlxCBRIIC8TwNoAvx/rOZJbrgR5+E7nekVGsXDitVp5WgMk3/DAvOF3IHde5z5PQZDpgvdAXn7WhyCrLchKOYKKJKisQcQtsbAnLJ7rBeTnp3vl7z8jEGRK3OUQ5RbihIu/K14eoR8lr00DefkZpxycxK1ZBnLtr5kFVO6/Becno9KHIHOZAyFKC7Kc1mWllY9nuQW51FV2vhRtlFcwy6J9QDB6+BA80aGUznvLyUeEHcWi50565PqLQO64Vl0WoX+ga5axqEF857xCwSF8+azSguyKgUsV9ZL/HUTQRHDD1MAaz7s37xkLMt/S1fs66fE+wsojVebwhsAVWsU4Bnh3k/VILGSZnfV9xzaYD9wOKlj1g0C3bmKTLr4iJ5NLLrEQ92OY8yprJ1wzrgLnWh+9670HjmICGYjXFSWyNm/hkrK8wlKsw7ypLb+8QaxZzvRk3JIWOEOUnIAA3zBo5KbLmb6xUADyeURxEFNGROCVm1dqMw/wECauGbEJiBKPoPKXJMOtV7wSNzcCg4d6D0/4i/cc3thFCzLH2uXupSqf/GzIgb7zip2MtlpW5c5O9uyahBi5Kuc+VSfoM1mh+Vw0xzmPBrlIQik0WHtJyDet1YjLAgiyx5IoDgKW5rRR6GClDprcfKV7M5huEGTy8b/Y5303eA+apsdCpHTSE9oYfXqSt81wMlwuWMv487E1yG4LssciJufJ8wuQWHgIsmyx7+pSTz7FbeGLcdITNmexrWf8/vgGKPWbvTtH+YXKenO6l3B5NMgKfbeIsHbkJ7Ew4t40nr9N0PY20NXL3MfkcvD3n253n6+qS4A7Go81GPIlaZGM0lengr4xHZAmq3QLm4zTf3+oqItC2fwsyHaMY8U791hqJYmFbO2zLcilwNZNIE/cz0ilZUGm9VuYZdEuvGCxi9gGWLmE5yKu9PR5mDfh+XLnsC0bnWPcQpzPq/tocaVCtIyLE7G3XmL3wccofh0+wRHB686Aalfdp4QZf+gTf7Py8mnPkjTFOOI/mXPpovkgk29Xn8PPU1yTyrvJylEs5HN4/h/NBeo+Bl222D9PEZL2l7z0tDusYrt1XJj42hIayYpMVauEIoqVoapATPfKVFmZO79CXlF3rXK1tYBy/hARew9BtkDefwvmn37DvsjB2nlliLKEIpKiXBbm/Tcrk9M1Viefz7m1RI/fB9qiWIbwxLClXotkNqtexu9I28tXfrAlCMlSf8G/SmIxaEg0IT7vzCgFjBgMOSJIkMOf3GhkZ0neWYsNh89SzQLTlXZ2sNmsomOhhbxaO6eKkEBMkN/9BHTaI67fVPBYoEVLzPIlbIl90zqQt18GXfEpzLGXusPjRJFW2Gmt8otLqMVYkHMSuQPUkxa/yCwRQR+/zzcEEHnkLreWTbYy8ucXFkIol2N1RPRi5/fnq0H2sRLIBPlxR59JFn7gdtJT1UMR2c7wZ6byK/BNS5x3aksJLMLECbIKPpZUlFVEkFiY7mMy/KKTyMdl+YwoBzB9ykdMkCfvB7n7ejYY+8Xetd4DzbS5yyNajWcIYRiFem73A/YGKsI9WnWGNjW42zy3AO/Y6r1/cTdJPwuyLRVRtHeFBdlVpk5pg5hsFwyuQd65A3T+O8z5kU92ZT8aEp0guzajcUn4QuqEBbp4PszLftb9EGCA+/kmSrzHOEHOOStJxg/OdtKIY4ePxIL+601mdOKrarwfrqn1FMcmhVXVwZPHsLCOfKI9iMkrPM6UMsyCekIlEWR74u8X5k3+HnXDIXmX1MXz3b4a/Lj4vnhZeDva2cB2bFTFiRfhIcjB4yLN572SUkLcEouyCsshlTtx53yJOH3nNRDODSNiryPIWPwRwDs+PxN+EEHmFcFFkHP+u+/xhlXIu89p3A7y3EOKvFUEWapMPtoh+sUK5e+uNE/ez/5IWZ2CUudjOefVfcIs61s3wRhU6yWsqmgffGnejkRhpSm1ZnJB3qjyREDeSjrbCdrS5P9+LAsPDhillljk8z5hxwpsMBTlHQ3bFel8rANybGJhlYLMncU+x18FOv0JkEnjmf63/ksnfREEmYqyAjuTAEIsH7e3SxXyDLLqA976d+iRbqutH5qd2bhx0rcQu+JG9iWXc4eGU1iQaT4HNEnLiDJyWTYgiMv2oswBcAbXkhCJRYAllz5yl9PBxuOO5dKPIHd1hhNf298hAkEWl+R5OXkfkFITZNqyE77hrVQOurLEIiNMZFVLj2FxqbnFW9x5EXCvvMmrXxzEdPrKlZ8JulepHLZhI+2uz6KVcN5bTuxosZ7zesKlN+KyKyeXHRnbvwSA07c11HvbrNgHVFhOen5bTav63DCCnAmwIHOYxDFQeJbY+QqqGUCQrfKJK6KiZM9UkCDVZV6Ywtqf5QjrFEGIZiL6QFi/k+lPgPDIDjwvOYQbwN4vH1e4xGJQLWI/PtdJ4zNhUtZbTirtEJCKcc2SNBgDq911RXZaC4hiQRu3O8+TE2RV6DQRPhZkj8SC11OfMG+e+44Yno3K9Q5wR+3iZRPbA6+3hIBmu0Cu+w3bsVFsf6poYGmJG8g6f0kaQX73fyD3jHWfI1uQEwlWlwQ/rt6M4b33EWSOQsFfBB607MmtCALZDazkfMejQsErxVCZ8z3kz9Eg25CtCTylHGs5AAYnrAVFZZG1dwBQvY87LBPgdoTgp9pWccoqKu/IqgexT0WDE852l3G/A1zfyQuPg4z5FbNoK7aZ5s5mxv6jYEfEEKES6AOAWQC59Q9uyciWDcp0NkYe7Pwtd5KqzWjsm3DHn6Wrl0bfEhNwOmfRgtzW4naADCLMeYX1M8xZQ+70U2Xh23wDzBvcgvGd/wGGDlOnI6Z7ckcIyP03g1oyDV90dSgmUdaz7HJHQrHL6/esw6QOtgY57rLCK1cVuoItyFS0mOe63E6SfmUznYGImqZt5TPKypQxhMmYX0sWYeF9qwZHkSBv3uDeGStKJBJeTg7Zv4ND2j5cea5JYAw/EABYvSyvcm0AACAASURBVOaDvV/s4IwksZAmrHw5maoIMq8/XL5FqXOtzozbgsYJci4bbEThVn2/qCIqw4xMBkzTLW+QLXmWBtkQ2yExmQFBlXcxEguVNRBwv6Mgvab1bMnYS5zsKXWViYy91EnPw1y+/TIojw3M30+qzFv/zIIT4Yg76cljkd+GLap2XioRZFWazRuA/UcyiUU+57R72Uru1+63bwG5/iJbR20MsqzUYcYJs6CcRNP334YpPkMuueKSoXWrXJGKPPfU7uUs5JWpMP/2FyfE7Duvey3IgJvcSs6H5MUnhZ1Oc+6oNeKESfGcXFtsA9421plmUVBESaB1j3TdKpCP3oXXSS/vrqui74oPAmOyS9h7CXI+52/liRLnUKzYzY3qtICzEw/gjQbBIzDksiCvP89mSCoLssyQ/QhN2EArgluQVR2dysdMFX9VXvoChJ2HrIvE3ASZZtpZIO+Dv+7NViYvcugYTrh27nA7qXFs3cQs1dw7WCbDhbx6a+FCwQnGz5dbtiiiOXDnkEOPROzavyJ2nc/ucSpHUPlYexvo2uVsZs21dVFgETVDsCCTB+8AuWess2wsN/BM2gnZZMsDFDN+Bcgb00EeuM39YzzhDlfkA+6kEfv9n2EccKB3ELPCYdEvVrm2CGVa+pCIJ2BLdyiR4nnz++T3x+soL6/f0mLAdr0AnOXiWMwdck1FNkIIssvC+fZMkJuv8MTrdOUtOlatXgpy6Y+dlZhUmf+zEtu2Kv4pD6gPsPtQWYPk63Ao43ELefC2LGmQXXIkn5isdMaToO+ylRfa1urcu+ic29RghzxzRbEAvDFT169hnwoNsr36IIYJ5GXp7FD7l2S7lM/E+N/zYZz3Oxi1Q9gPfhKLKNpK2YIs9PmUk1wrioX9e2sTsHqpc77regJB9pM+NDUwnxk5SoRYJoC1gVwWdOsmL3EH1CtiuQB/jlwOhDsFcvAyquRAhbwQEznHfFJ4O+fOkp0doJs3sAgkYdFZLIkF5QYzH15gfP8nzspdZwcbSzwW5JCJNp/AcJ16mHHEJP7XFKzw9qSQE+SpD7mdduVJmVR/KaUsStS6VY6O/ZVn1QRZFUYxn2cSxrdeco7l8+72I07Mo5BQaaymSxezKCjPuEON0kyaRfOYMsGSWMRg/NyaPOSybiNgPu/vh8IRMhaI2HsJclDkAqsRkfff9uiEbSeZDVanO2RYYBg0utOxEnsE4JyUzXoB9JXn2OxZbsCEQt54QtkpcUSx7AGO7kpJjhQMuazcq0FWeaQ381mi24JsDLQsyB1pVolVhFu2bPlpnrs6nQ4GsMkybW9l+r+EoE8TkY/gpJftBP3836BixAQ7XR6gFMahR8JIlsI46DD2XGSJRZAzJtf5tbWwrXJlhBFPlQWZg3e+0iSLPP8oyAPMEcQm0WFOWBboy894IlEY8bjXcqsCn9AMG8E+JYJsnPptYN8DvCspUcPkNTV4wy7Jy3RWXTBicfa3wnICINzpiBOUWMwtsVD0I7SrM3igVJ3jsyMlALcFmYMT/Uxa7QgJuKPr8PP5xDIeZ1Iknn/QVtNC/SBvvwzy6D3h7YjnTYm7/8p2sTq+/0jJsU4gyO+/LWg2BcJacBydyZ9+4xgmOjPuQU8itTTbyfSK77wuLM37aJDFd9OR8TdGKCx/xpBhiP3X95x+y8+CHHWLexdBFnXB1gDONcgW6IJ5/lZQUfPuV9frt4Bcd6H7Pbo2qbB+T5UDuS6Q28eAvj3Tex3VhCrX5S9p7EiDPvOAU1QeCz9hTcQ90hpJg1wo2GNR7OZJML79P0BnBuT+m0DffUOScykIckrSIPu0A6M0ZRttyIS/sB0UuyQyFdX6yNthWL/jp0GWwaP2JBWSFCD8GqbJuE1nh/O8CPWxIIvjm9BO1yx3J1u91BVXnxZLkP10063N7pW7lZ+6z4nHETv9B8DXj2XPVw6XGNb+grihhL2YIAfMEgoFJix/ehLII3e7j4kVbch+QM0+wZoWUSvU5GNp5iG3LMc5F6StWgEEL4kfeIj/MRG2BllRWRRhnYyycnhiYQVJLKhkQR5YzayvmTRATNbZyBDIjXHe79xaIhk8GD/gzOrTbezvuGNdsDFsBFsaU92vWXAGtY4MyMRb7KUbF3KCFZGjtCzYgiznx59La5OjFxRRGhJwXRXFgsPu2Ij3dz6gCxILuupzFoe0WE1WLBaJIFO+y1ilZamU60uihBGWgLjNgWhqZG0myCInrnIkS/03vQlzKOKa3JjjpEdbdoLOfsmbNsyCrLJKfrHKP70qLBifXAe9u6xkra2sgnHSt9j3IcPc+k5RYiFDXOqf/oRFxBSOrXxXPkKcNiHtpIdsF3DoUTCOO4lJaebPZY7DfpKFfM45Ji3TuyASVnmVIJ8D1ixjq1vDRrgjkfCi8bYtSuc6M97JLz+maruc9PA+z88XIIoF2UOQhTrD70/WIPOxpqLKf5c8aeMJJcQoDSqJBd+RNNupluuoCEhXp/99y9foSFv+BSnWZ6h2oRUnOvm83bcYiQQbGwoFp02HapCjEWQkEo7mn0eMkS3A/NyDDlNfg1+Ht70wa6WfBlmGJLEQQSNs/MOIo7V6ykOnUqKWRPpYkGUy7Zk8FUuQ5XfVLOxxIIYAFVdg0+3O+Jws9cgqqZ/MUiz3Gy+Gl83CXkyQfWIXA6wy8fh+nZ3eYxaMEQeFEwWRIPtIMXjMWaO8wn+WLYJ32goyFTv3d+owNTJSETTIrvQKZ6AgiYUVxcJx0kuxjrUjzZ6hkiCzBhS7+ma3JUYFhQWZEeQyJ09rYI/dNIlpGoOiWPCOxWdABOB0uKJzYkpBkEmABdkCnfUC6D9f8R4I25GId+IKiQnlTnFyh9qZcToFgSCTe8ayOKTFxn+MxYNXKnibqN/CBi6uyZSdOhMJ1pmpLG1RIqYU8l6JhQyRlJeUekJ32QgjDZyUGDGHCD4zGfSd17xpw6JYKCa49Mt1/umJ14JsOzkFkS15q+54wp5YGcNGwBCfTS4bYEFWaZBVFmTrt2yX04fIYd6ynTBSZfZ7oU/8je3o5Xcf+Zzbl8AvJOO0R52/35vtPpjL2frj2EXXsHogR3OxtetuCzLl70ru61QrEbye8wFa2sCHrl7GyEqQBWuQsHmE2C5FvxNOzpMpdzvkK0jlClmCoEEOXWJ2aZAVFmQxckrO0W4Hbt+dy/q/Y9kan25jxLHUIsieLdQFnSmfQImrmbYMwnp3LsfQCBpkYgIHHOhNlyhhdVeEUF/Mi84Cmc42izH4qpkKsVjoxkWxK2+yJiKFSASZdqoJMnnozmgGkELeeb+cIBcUEhLALZniZaMkPGpJe7EEWZJYcC6Vz7sMnC45ZHur3f6MZFJtQQ7TIP/rjfCyWdglBPnBBx/E2LFjMWPGjB6lCQRvNCorpVlwOiHPjkSiN3hSTRJ9IMot7N+IaYvXyZxXQbleLgi801Yts9fsA+Osn4dfg5NrVQNVVd6yCu9mCrLEIlnqEAlKWXox7nJFFdNOEqImyDLxl50CBRhi3jyiQqadEXk7RqZ1b+UVLH+/mJlmwZE2BDhNEL6BS8xNkKlnJz3FduYqiFrJwfuyz6BtzgHLWhJ3T464lrRxB9Nxq/SHvLNRbFkcaYtrEfF4IJGPXXwN+yPdBlQNhMHvSa4viRJrIxlJQkSIs8IRhmQyuPxingHWGo/+XQZf3RCtj34ItSArJmGyV7oIlQXZdoTx7+ypuEpGLFLByc2wEd7oH34DsaoOq36Tt/kGrBUw4f12dVrExz1Z8sR15RC10UA0eYK8LJzPOW2toorVGW4Y4NfmRId/VlZZGmTrWgNr2Cdvd9z5+tAjnXw4MYupJRZ09gwWji2gTzD+41j2hxQH2RVNwMrbSKXc/Sgh7N6SpQqCLExYQpf1hWessiALxhJOishfx4D88Xx/B6f6Lb5bG3tWddrbmDGitNQbCx9gz892crXCdrkmwu5+hvpFTrFgr2bmHQuyccAoGGf8yJ0wkXDi6vJry9ZvLhdTlZsjn48mhYzHLXlVBDLZ1cnGDslgRxd96ERxCYAoz7EJp9+79AvXFmR0BNxhFhe8F14muZ3w2P2FvHvSs3Wjw8PMghNatsSS54gT/LwqDjLcBpkiNvrqd4L8ySefgBCC2267Ddu3b8e2bd6XGyWNB/KsgXeECissffNF0AXvsy+ypU6sHLGYm6iFobnRG7fUNJ2Z//I6ZwejIHQGEOSSZDTrW1BcWCVBLvOSN3lyUJpyBjBuQeaNuyQJlFcy73tiqjsIfi5v5EESC7ED4u+oI8OkIHFJgxyLsbIWcmoLsllwYjaKXrcyllrB1V079ZQHSywiks/Y+ZfBOPkMp5PauglUFTown2P3ImqVrQ6BvvIcyGVnqztUeYvh7gRhF/LzWFJEVFU7z6jKkcIYJUnEfnu9k66kRB0q0G8CpYJKliRCHDiDVgfCnPQ4wTKMcIIRRpBVEqmWJrX8B7AIsnSPfIAIsobIEot43G4rxv4j3M8mSGKher4qosrLIg6UHguyYBkU4ec8KTsum3nQz31Cavph/WondmtFFat3tgXZ8gngz5M/s5paIN0G+sEc9p0TZO6AZxlQjKOOd/Lhdd2HIANgZEXuE8Q2wPs+vpMe/y6QftvhNplyaZABsPEsnvBf+qck3DHMpUH2kVhw8LawfjUjQD7+MeTDOf75ydb4TDt7H0nvRIqVQ6gTHWlWXnEsksclcaKoqreyxIISdwQmjniJdyXVz6Ai7wIrgtIIEjXK3mNECzI6Myy96nlFmFTSfzzivPetIU7jfhb5EO2uZzIRBrmd8El0Ju3u25qbgBGjne+ixCKXdfqlZJKtSMkbKgEwvvdjGCf+d3Hlwy4gyMuWLcNJJ50EADj66KOxcqXXeSVKmjlz5uC6667DdddZnpzSw65Msg465iNH4OFmUjWDUFtba/8rEUhbqrwcpVHkDBaM5p2I7zPE9ds+lZUukpoIm4UBSFrWj2TNPp5jg4cMQeWAAZ7fZQwcwnbGG1BW5rq/2tpaJBTEdJ8DRsAQiHdtbS0SkkNZvLwCKBTYc0rEUZJMojTJOorKmkEoHbof4s0NACEoD3huNUOGoLa2FvvUDvZNkxIkFinhOaSqB6Gqppr9nWCdxT61tSgbMABGwURM0dmUJhKIW51+hRm+HFU5YID9rEoHDESikEdtrRNcvqq01D6uyi95/Cme32pGjkaqsgox00RtbS3IXy4Duf9mz7tJJRIwkqUYsI+TnyHV7ZjKybKQQ21tLeL2bl7hBFm8JxGpigqkqmt8z6seMgQxy6qdHOQu/z6nnGanqxqyL0oURDhZkkAsZOJpWO+/tLIKsQCnvtp997XzDkJFSH4lVoccjxlIKCwMpf/vm87foCgtUVuQamtrURmX2pc1wamhBWVZS+Ix9TsFkPD5HQAqhBWYZCKOeLIU1YcdAZQkMejY/4eU0AbjxETKx0G0sjzlLZdighVfMA+DysswMOk8y5JYDNUDhWgZ2S6U1wxC5cBq17nlhvo+YmYBSeE+qnZsBZkobMpUxAoekqUYPHQo4qlyJGPsXaRK2fklJnv2VVafkRw6jK2AbNmIxKivITnAqs/DhrP0Vj9dWev057XDR6K2thY1g1h/VFVR4XmX5ZVVGFDunlyKEWnKrGdVkUohaTjjU0xwlK2wLLwDhwzFAKmPjJdXoESx+sLfbTyXRXnIIlVVuUMCy0sS9ruvrrLanPDuSojpusdqoiZjCT/nWABlFoGLWZGOKkBQQglKKiuRVEUr6upCnC9KtTYhQQlKKyrtcg6oGeRKXpEQxmzF2FZmpS9PliCRSCAGNraXSQao6tpaDBq2v+u3VEE9WS6rCo4TP3jffdVk1kLNof+BWKIEpSUlqKpQPAMJ8VwWRkkJavbxcgKxPQYhxlfN/XyleLpsl/2skwnnHsqsdlr7qMJxM1mKkiKc32pra1EiE3s++epII/7ik87v2U6kho+yv5aWs3ZXNrAaKOQwwGoPsYoBiGfagc//DaPSzZHKawZh0C9/H7l8HAHrBH2DbDaLQYNYha2srMT69d49w6OkOfPMM3HmmWf65tPeyJZCSIhTVLajE42NToUxhdlTVy6nDPig1FUCoF0dMAfWuMKxNb7pdvIptIYEDgeQ3boZKE0hx60wJUmbZDc2NoJ0hJPsthyrfG1NjTAa3Q3CVFhZd6YzoMLNNixeACJZIsxECZDPoaGhASSXBxIUBWtpMJ3NAkP3ty3zHQFWjOb2NIzGRm+4JgFdwgCdjTnVtMswkO1g1+6ylu52trSAFkzQfBam6GhnvaOuOY6ONLM1YP94C+nOTnRYz4wYcdB0u6uOtN4zDu35m0BefAJQyGryCS8RaSaUxbfN5VzXapTeDWlvA40n0C4sucpWcaK0kpto2LEDJMg5VYKcN0dXLqd00ORoyXSADKgBWpqQLy13XUe0kqYJBVHsnpjr6rKtvbEr/wKi2KWSVlQCmXbkKPW3vAJobGmFEbQSYSHT5B+JBgDyLcxqZ+ZynqgyAJA/52JmqfpsIbItzfZqi/Hd/3WFPmpsbAThm9CUVzBr8siDgPWr0bx2FYyktz/KZ7O+luJCwKCTaXLijmY7OgFK0Va7H2IT/4HmWAmI0IbMzk50+Tj/tjc3I+NTF1xl2bAGjRNvhfGN0+37y7c0oWW7IJ8gBB0EHmtTR4NaYkK6Oll9sNA6c6o7QSIRfaOdXBaNjY0wY3GY6TR7F1Y7ym/dhIaGBlCrHHlhAk5+fC4Kr01jv+8/Clj4AXKWJCYtrNbs3GmF7WxlVsW21lakpefWke2C0SRtoFGasv0vOgtsAptpb2OrbdYEkgj+K5n1zALWipjHudRMlMBUTOC6rPs067cgM5VZ02P3TwW570bPFuVtzU75Opqb0WXdA93JPnNCf5vPpNGwxekzW9au9uQNAAXVxksWOndY5P+ia4C7/4z09m1s04iKSvVqWCEP01p1zW39EojFYZqm3c9QyW9IbNtdCifdTgogkUBHaysqCwWQfB5duTyQdfejLekMEHP3e1071PfVmQuuk42NjZb/hLf9xm59CC0lKRDDQLYjg1wETmBm0kA8juZ275jZWh9hhR0A8ZN5lVe6VgZIJm0/a1Nom53Wc25Kp9nqsWi4KCtHPiDal4zGxkaYKqJulSW/4lPXz9kBzqQoa42hpMB0/K2c66XKWCg7ADj8aGDh+/Y5HV05dHYVv/Njv1uQU6kUctbyV1dXl3cAjZgmFLyDVs1QBVBhiYmuWc7iBHLEYupQZwEDsrHfcPf1ly1xJ8hEWIbYuBYY9TUY8i5hEfK3YXW8NKIGmZEMx/RAxl/lDaklbnNJCSMJfAkmHocxXFwG8Z892/cTJBVRSSwAK4oFd9LLOtexdg+zt1Et8dGABUksOFxbWSqc9ACQN1/0xjfm70W0TMRiTA9aXqkc7MmTE91ONfkcuxdR7lLIu5+VjwSAPjvZs7tVtxCiQUZJKYvuArgkFgC8702uq/E48Pm/gXQ7jO/8GPj6Meo8uAUgWQrjx+f5llNFjo1TzvCmDVt2trehV0cBMKoGIn75DcDIg1lYMUKA/YYj9pNfea/VkWHvz9LOG9byIG1qAHl7puMYxqHSIHPw+jJIYSHPKpz0AKffECc5TQ2gH76jziNKmCkLtKXJcRiqqAJ2bAO580/uRCmFxMJn8yPmPCTkLy/TUsC48I+RywdAklhY125qZKE7eT0YIKyQJEvt5V1j1NdYHbZ1wArn5SCJRSzutb6Lbcnql+jLzwAb1iqj1dCtm1j9GVTrlSKlytRWdXkSkUzCKK902qkrrU+YN94GeJz5SitahhCmkTa6Q0J6zlXAlpJxX4pczorznGIhJVXg76mpgcmjgiQWYtvmPhwiSlMuI5MjsZD6jkTCI8mkfhKLIA0yh58OmVvo4wkr/FpUiUWJclz1+MgUi32kldyuDschUyWxiCe8vKisPPLufTZUz3boMEZuZdQOdcZE/n55TOjpU9h3kSfI24nHY+EO8gr0O0EePXq0LZnYuHEjhgwZ0q00oeCNJoQgo6kR5kVngS7+CHTu6+5jRkzdGQURVGl3ODQ1uAP2R9SGGgcdJuwS1n2C7HIEaahnjSlymC3JOio7OxiGEFw+zmKfcgQsL0XSIMd9CHKq3Nllid9bPG6/p8LWTYyYlKo7J6UGWX7HYt6qKBYAjIEKCQJ3JhSsU8ZJpyN+8yTmyJYoccV6BQD64RzQf3/ofM9bQfHFZ2OaQO0QGD+1nGD8PP3ff9u6n2gLQ76asVgIQU4mnSUssW4DjsMewJ6HSufHUVrKHC74vR50GGLX3I7Y9XfD4B1cSSlip30fsYcVy3oyCbM8y42jTvCmDY1iIRDkICc9Xh+sgPUyKDHZYJYqc97D4P3YscUfgU6fAvrC4+6TVHGQOXhbU6xKeOIgq6KIREExevVkqZOv33bkKic9v9CVuZx7ciCFyItdei3bhKYYJEsdbS0xHf+DtSucvMRJbDLl+InsP5Kl5/co+5QAQhQLtfWTzHjS/Zt4DZdTaRYY6JYLAGBRBgYOYhMdjwZZMfkAnPj99j0FOImJZFoMp2VZ34xvfhexq26GceQJbBwVV8k2bwwPVSmDEyHuP5LPAdkuFtM3qI7GE6ydtTS5n5tMzgSCTPNZ7zNLSQSZt12ZbMYTLIycaJDy1SAL5ebGC/m5+OmQeR8Yj7P3Rhwjky8K1u6CYhre98qRuIrFPkPd3y1HT/L6887GNAAon5DH4946WFZRFEGmxFRPqioHKCeNRmWVwz9sDbL1fPnqi9gfSTIcxByOELlfxC4gyCeccALef/99PPXUU/joo49wwAEHYNq0aYFpjjvuuOIzskiNoergRKxnS0Zk/jvAYKmi+FmQDf+KbPCdfjh2NjihfYrBsBHOC/VYkJ38Y3++R30+7yS2bgJdPB+UUrYbzczn/J0CFBEW7LiqgLMceMU5luesYYeBMeJx90AQaB0uiZ4GcDeYMieElE0ehLi95uaNzNHGz1NVRZDlOiLHQTYLnmV+ZVQE3kFUC41T7EgSJaxcMhkSOz0e2kx+NvF4rxMecvW56gNhBLkk6dRJn4kIAMuCHEDaeIdnvWvj8KNhHHoEjNGHAnwlxqqSLkux3dG522Zs3H2I/X2a2oEmjCBzmIUIBLmLkSPFgEau/DkLDSdsvGNwC42lAaSyw5pkQTZO/wGLEz78QOddKvoh1651REWQI+p3o4Se5IjFQJ+2drpSORHD2uZefgd86dOTd8G9QiIM9saPz4NxxH8G1zEVeEQbADAJYnyVQ9yURGzzyVIY3ziN/T2wxu0EF0SQd+4A+f/ZO/PwKIr0j3+rZyaTE3JyhSOA3AiCIIKoiAEVFQE5FBAUFUVxUcQVWRAUD3SVVVEB13NXV34qKB6rrigiqCCKrIiiKIeycoUr5J5k+vdHT3VXn9MzSSbX+3keHpJOTXdNd/Vbb731HnxRGkL+z2qt8A5/R0QrtOEdlgZfrP7MJt+i/FBWqgULGr+7nVJpdNFJdohT4d/NWKTjj9+VrDQpjZRsG/54paKekBNa/uM3xeLolAfYDn+CGkilVgp0cOXSWTbFdsbPGC3IxnvmT9AyHgCCgmxTGEuUfXZKH+9D43Sw4VcqP6calDK7RQp/T41ZLMIFLvvi9O94x27K/0YLsmHuYBeMNMtzITsLy7QwQBYXQV79ivIzv09858jjVYOe2SXjID36UuTW2YKTlnM0S0231tkSkzV5Jmax4GQ00b5HXJx58e7xgDEGadpdkO41lLx2IOYKcmJiIubPn48OHTpg/vz5yMnJwRVXXOHYJjExjJJrhWpBdnam57CUxkomAH+Ctp0pCRZk0ezvZPkMWYtUigutt0fD9ccXp72Exgpl4vWTzMFw7CotV7L88TsILl2kbL2fPAF5z06TBZldMCr0g0VHhImZiS/8yRNKmjbBxUIvxDyQbv6LrpqXds5QO5dZLJhgQWbxifYuFgDK9+1VtmPsEC0C/PqGyUS37ccnN6MQCv3Optymfe6s85UJ5sxBWh9FBZHfS0NuaiZOeLwSmdWiKJKApcrgkczC/VQhmj9OSH8YcFDGE5MtrTTaefQKsu5vPC2elZ8aD1IyKArMF6eMDysFwiaHpzRjgf6AhQWZXaLJJxafoLg2VFRYL/C40iq6AqWmKz9zC4zxPTPmQW6UpuQJF4soWFmjjGWdo7UgR+BioVZPBOyVG388mDGIUfyckZJiTakR3zOuMLisHirNCpVM9/kEa2GFPs1XSPbpXCf88WDXzID05OvKDoiYm5dP/KLyE5Ib8vsrtcUCR3R7CT0z3YQv3DPWfzDQuYf2ezfNEMR4sLfxu0tMn9+aY3SxaJptbsNRx2iy3sXwwD6tKia/dlmJ/jsd3g80ToNn9sP257fD79cyD/BsJ05jVJzbHCzIuoVioMxkyWUhFwt541ocvn6kpiCbdrdCfRGVPTvXEd5vBiHnsUHG2Ixbdf42ZrGwcucRMRgcGNdtjNl7DLvmbNAw8z0Rxp16n5NSwPqGgpHF91BNsxpa2EuSKjNYyxywRmnWha2csLPMp2danyspWbvn/P4JCwppzBRNRqZmwlz0LFTxt3d/MD63uKBG8iAnJydjwIABSE1NrVQbR8SJygXy8aOK4uLzaROfoHixxmmaLxx/sfjA4gIwo4mlMsyisSB7vdqAML7IomJp5YM5cIhJmVJTJ+3bo58QW7cX/CgtNGRRGJtWuIKCLBksnJIH7LR+YKd0NZ1PzWOos9Qazi3+TediIViQywULckgAyEUF2uRihZimiL9QRj89ow8yYHaz4KU/O3ZXD7HJf4L0yIuhxY1gJeDYKZWi5T7voNL/9p3BztOsS7rFWhjYoGGu2tkieZTvYOxjB+VZMskDdtoZys/cimGFL87s56e7HzwIrJw13QAAIABJREFU1bz1xZqE3BKsUrfxd9pucg0d9zTVdnNkuzRvpxgsYULFKQBg514I6TIh73gYFwtdH8UFmD9es44ad2rEvK+AfuzwMW717MX4BsEHWTtPNbhYhAJ9pLv+am9pt/OTtYPnTgb094ErGG5SAvbuDxayijF/PFBwUvETr6hQ7kPIvUkpUsP0SlCc4urDuJIujqukZLCx10K640HtGH+u4YIH+Raw6CInjH923sUGlyRBznHXC+N3Lym2yR2s7wtrxOdNC5nOjUdJyUBxsebydSxPP1f5QwVXRPeYosLwc6roaif2SQqVsC8r1VfSM8Kzr4iGC0cfZIOCbNxt8cerzyCYd1ArVGS3uyUuaOzeDVFW9Rmo/GAsFGaTNUZFtSDrdzVY37OVQFijbE1I1MtPPl6MxhvTjqhHuyfcDe2Mc0zt2dlDtZ0UMdiR6zmFJ5X5WxyzIVfDsDv1RqwqVQKK77DVuZKStbESem66a/rjNTe0tAyYsis4xUQ5UG8r6ckug/RUjuUpFgavECAlltz1eLSbzBikp9+ANCmUNiQpBdL8xyHdt1Q/eDgOCjK74nrrP4iO8EZLVTgFWfIoVlDhZZK3blJ+KC3RB3KJwsSq71Zb4mL7oJ2CzFfJhoFpdz2jL96JY5DueADsnAv01xWtDmWlAGNgkqS3CGU4uFiI8KAm43akOImFJtLgnKn6NiXF5raMCcq/vYIsv/kP3am4+4ZcWqooIM2ylXNdMk5rZLy/NkgzFoB16h62nSViEISFxVL603xI9y9TmnY6FdLSlYqvvO3phPvBEXcvxC07QP/92nUCu3gspPE3mE/Mfe/sHjE/X5wf0j0hC59dkJ7XYK03Kn1Gqw4vPS6HUZBFa09SI+Vz6qRgVJAN1+TnlSQhd3gYhVOsPsapDh9k3p/sNvZuK/HxkSvIVtY2fkx4PtLif1qeQjfOuvVSZNwP30IOViiykFuVgxWhBbUgU4zXFt9Zjw/SkMvUBZtyMZeTrTp32LgHGNO1ieOQz1vGvtkqyIZn6KSwcNmVlgH88C2CUy9TijaUGyrW8XtksPapO3o2LnLs4rH21/bFaS5GcTYuFqGdJSZakEV3Hqc8yAGLDDzxCfp7K9v4IPP7anznrVKWijsB6ZlgU++AdPt9YENHgl09Q/mDXaC4eg6PwYIcWrQlJkG69jYww5zIjDEdakVBg/HGqPN4NXnOup8Oz9/f1o9n/n29Wh5o+biQkYKfr/CkeT7nfYzQghx87zXlB8O9ZWmZgJXHgM7FIjTuxEVuvJYphp3Sxfx5UpAN8FWl25XN8aOKguwzKMhcCHi8YII1jPnidC8Sa9lWix43wJxcLOx8d7xeIdhASSquWhSZpqg7TtKipVgswauzVoWZRMMoyKoQi4/XT1J2CrJwj3SuInwLM3Q+Oe8gWMfukK66WX+OOL/2e6BMu45YAcnJ/06EJx83PgNDJT1LeDCR3f1zUpANfouqonFQ2YZmzUKBnuL98Xhsx5eOtIyIghB0qEEQHkuFjMUn6HzsXfXH+PxFBZmPQ3WnRD82pBETrbfDuIJsVSJZPF8wqD0Hfo+NuwtCcQ1LjM8/PkEZd4GAczYbbu1hDEhKUu6tGtRl0OyNmWa4zJE82v0Kd68r5WIRYVGZlMaKldZu0eGP0IIcKLNUkHmRJlFOsJTGYBNuNJ9DXKj2GQikZSL45suK0seDeHnGDMmj91M13ieDq5gJN0HSgPadxG1x8XwGeaqTh3zeivOD9TtXM6QUF1n72BvdgoxFEURjBI/PSRV2zg7vN48h3n9j3AZ/X2wqoYrGCmmRISA1zq/59dpV0uNjR1SK7azJAPDbr9rPgYD5nDyLBScYih8w7G6p85fxnW9kEZCtjhHlHkh9zwbr3APSmGsg8Sw64VyDQlksVAWZK5mqpdQwzhIS9XNTyPXBlMXCqKxKHq0vouX7wsvBcodrllivVxt3ojWcz/Elxeb5jt+bSC3IP23TfQeV1HTrID2vT3Cx4M9JtCAnqN/RsiCIUwCkA/VXQQ6tKpnT5Cf6AhWehFxUYLYgqz62Xu3ByAan+nDWSgs/YRVbR36vZmEIBOBZtkqzpoWxINtizI4A6IWJpQVZEEbGvjIGNnEa2PgbgPaGVZshFUu4/jKuILfrBCQmQ8odLpxL9Fv1axNEQAjuERcriUmwNy+GujH3b2A8xZjRYiAKTruI7WKzBVl/DgcfZCNqCdBQ2rhmIf9B43N2o/CkNLKeQN3Av6tHMluQIyjPqcNkQQ69T+lZYOeFXEGsLMgOMFVBttni5ueRZe05hJQ56e7HIT2tla9nQjo2S4yCn0+exYXOVonEJGVsJiYrE6+xZLCI8XtYLS7DVeaydLFwMQ4Yg/zdZsiH/tAquIWDL1rsLMj+eOuxbsh4osMY4ATYvsLSoGGQbp5jOCgooV4f2KVXKIrTnp2hBV8ocE8OLZqETAemXT819sM6jaBrmWuVrUfnsuYQ2BRSEhhjkK67XfUNZW3aW78n+/Zo3Vv+Jljr9oY+C7uJ3ArdSHNflH/aFhpDorwPpQo1jguuwFjNF4BOwWQZWWCjr9HcvnxxgoJs42LBx44wd7AkUUF2kBOBMrNM9hstyLK1iwW/lnE+sMhYpMaN2N0DACyci4XXpyzgQkF6qqJqNXcAiiyySn/qRkHm91S439LlkyGNu06TcV6foCBrFmS9D72+T6pbUjRxYoA2VriOlJ5l766h3hduFDPEEVw2HtJfHgVr3gqsTQd9P0lBNmDhgyw9oc+WoQ4WrpAcP6K8SFwZkCTNuiKWeeSCO5xTPcdhJWny9eSIORmN276iwHWz3ccVwaxmWnYA9TphJlEnH2TGwBKTIRl96QDt5Ta+rHbbuXyC9Hjgefxfqj8hP6YiWpDLSq23WxKTLYs96GjVVrOAOVmQ7RY36rjwQPrLo5Buu9dwDmHxFcLW4hqyIMob/qNYOJu31p8jdB1XVrnEZOsJpPvp4T8rWpBzOig+aVyJjQBp8T8hPfKS8ouNBZmNmKgFfVoIb0fErARW8Emeb6cDmjLn85nLxztVyzTuRvCxUlQY3gfZ49E+L44xo1+10cXCYoIMW/I+GDT7e7vN1fq/vQj+5UYEb59s386fAPQeoPSFB8Fa5VjnbS3GqvTnB/UHhHsijZxkai87leB1ygQDaK4/J08ok2OoyJFiJZXMskxE3dGw2x1yOW1aKTo6C7LDvGBQElijVEhzF4NNvDlMajSPfiePi2VRPpcWK+9II23BIr+yLGQhFMYc79+J43olUTU62SiHCXp5Kl0wEhK3+scJCrJdqWnjVjqgf0ed5GDIxULNCAJoad50nbLIYmHTf5MLHlC5PMjiOcoDZhcLYYGm71eS7tmy+ARF0TfIE5NR0OPVvqtVv+PNFmRZtCB7vea+GYk0SI/Drb6DL1FcP+ITzPeNL6zVXVmzUQzx8coOZ46iGLPs1pAeEnYvyMXCgEUWC9PKhA9M7o9jzLfIJH2WBm6t5Ap0uBUix2Jyk+YuhrRwqf05vF5toDgpyDbbXACA7qeD9R8MxiOam2aDGbNK6CzIFsNBFEZWPsh28D4aX1a77Vz+ElhVDjNakHmfT57QhIj4bMP5ncfFKZYhfi0nBdnKsqXrmwcsp4NmjTYiPis7JSdQqvjl/bwdbOAQbbWrm+gMQXo2917ZirIYb9fP0vs08/aXXmnuX8iHXZo0XVPWI4ClNNbyRBsnIa4gi/ciQgsyUlJ15zLhEd5Tfg9P5iv3haeUG3ed4GITGjtWW3tGq6dbBTkxSfkst7aK7w7fXuRwGcOfqepiYZHazo6KclN2A1cuMC4zRADQskFkcguyjYuFmOVExDi58ms3b2UuOAMLS55IjzPAzjpfG9PGCTCrueBTr8RzyFwZkSTn1HH8/bMbj+Jzcbp/qnue3lVP/XPoHkkLn9YWlByrsdjmFEVptbOGtcyBZ9mbNn0xuFh4vdp7JCI+I+5Dm38cEN0xwrhYOFrGfXGai4ffb70zYtxKB5xdLEQCAcDjhTRwiNCfeLM118oHmWOcD6zmaDcKV9dejn9mqgXZkHrQ6vsD5nnN51P6ZpXFQpzLbcafCl8QeH3asxOr4kmSJiNDY0+6/T5I0+7SvkukLhYcq8VQhWHBwHc6jPJRfE5WY04cW1FakKN0VqwDuAnS46lKMpsqRuGCfCX4JKwFOfR3PmHwiTaEtPhl4H97EHx0rnLAylk/sxlYUrL9tqbHBxafoPTLGC2tsyDbT9KeGfMBhKq+AWCNU5WJY9M67eO6hOdWZxEssREoyFzJY4lJ+p1Su8hvbqm1ylpgtCCL5+Dtxck0IYyLBZ/U+NaUUSBaBOnZEokPt51gLy6GvHGtcj2x0IzJgiycq0df4L9fhb2mNPthyBs/VYSv1SpfvJ6xUhFgtkpGil2QnvhOhPrLXCvIDlv1gPpOyKJVtbhQ2b4LfUcpdzjA3Xj4M0xKNhWqEK1sALR3srTYeZJMSASbNB0s5I7F/PFhnH6g3H9Z1hQPnXtOmMU497UVcXM/nSYOr1fb8WHQXL54vngbFwvGGGQ3CjIP1spqpo9NyL0MyDkF6G6f/575fGBXz4C891fI7/4fWM++pr8jo4mSFUa1IAeU7WzRJ9MKq7SDupML70R8gr2riRpsGXp3rbb/IcQciDjNW3auM07BlhYKMktMVsakWDZY59YTuk5xoc6CyxJCRie7ucdhYcPi/Np7YOeKI1ksEEUF2ZhCUCRQat5N8PogW1mQ7ca+sf/G+VuMTXKyEfUdCPn0AQjeMEJpOmqy4uvNMVqQuduP6OJp1S+eHo4HGIfmMenWeyAX5CuVO1u01lIQisWYrGRCehbQ6VSwnA6KDI7zGxRkj2BBDs3rYpo4IDoLsi9OUHqFG9mtt5K7OTsH8vN/EyzIetcznZHFSj7qYqLIgqzHJkiPnT1U+4VvFYplCQ0uFqxnKJ1V7/7CTVb+zhqlQrrjQUhCLlwAYCmN7HM4ctRUTg6pqiyq4Sn9sgiGc0JQSlgrQ1WqcJOoEIjDIrIg27hY2ORc5anZWJtTzH/UFdvwWk8y4j1OSnZ2QeYlgPsqqW5Yp1P1Po1uXyZJss5aomsjBvxZTxzyf96EvOLvyi+ipUa3U6B3sWA9+pgDYDiilap9Z0gTbgzld7W4b7rtQwvFLErBovXF8HmZTwaCQFMVEpdp7MIpyOp9k/UuSDafUy32Vr7IyYbPiO9AGBcLlpCo5Sp1k0hfTC8J6BcnRhliTJ9oFb0fZvHGpv7Zsaomu1jYcWBMtdKoLhZO+ZMFJUa6+3HFaGBU+jp1V8p1j5qkl0MJiZD6nRv+3YLikys9/YZ19USe5o9nZSnXfJBN2VVEVAuyzXiUDAqyHeKEHk7pNuJkkbOT2U5p54wKsserWQ67CZZOq7SUgD4TRGI4H2QH9xVRkYnzW99jqzSgwv1wfHa84lw4KmNB1rlnOI9R0YdduuhyZVeOI/ogiwq7uGstwhcx/P77fMr95PEwmU2V96Z5K0iCnsPE/lqMPxbnh2fW/Yp/O6Dca9HFQiwCZutiEYUFmUHQtcQYAi+k0deofVblvdXOGv+MlSwW5WcEO2Ui9VdBBiDmx1UPTZoO6ZnVkJ58XfOrEpUS3Ta2BNaqreIb06a9fuuWN+nYzdrKKL6kVls06rayjRD2eLS+Gy0DEQbpqUp+v3MU31tdP8XrW7zsosuDYZAxx+Uzd7FwV6gF6VmQ5j8OdsV15r8ZUqmFE4C2ft2ckFLIuvVSU96w087UUta4tZq6UR7FNjmngA0d6dxeTAmo2yYzWJAlj/1EZHd/rCwm4kKOP06PQTGvDCYLcujd0W1/RbiRFU5BDimxvvZd9N+lkU1OdSEtnAmj/6E4np2yWBi/t5tcvu06Kp8NuUTpzmGUE8ZrlwfM91oNJLLup9R3oH1VTShyQ7pxtnaAfwfuNmJlNVKj5YX+NkpVjAbGrA1JKfDc+xRYdhv94sgqxeDj/4L0+L+s+2nzvquBXWKat4qK8DLTzgeUn9etgizuPtrltLfDySJnqyBbWJC5EiuWxeYuFu27gF07U59KUTy3WCQqPkGbL/lztLMgO73P4jsWF8aCLMr9CILR+a4o63+edtC4EJQkXVYqHUZlzxSwDFfzbli4BVmu0HYZAG3cGK/B9Q4ugzxepW+8vdO8yGWDm8WDVZCfwYJswo18s0LcrTegLsRD+otuR8YNonEk0kp/Ieq3giymBhFgjIH5/ZAuvVLZCu2kJeRmPp/9Q1OzWLi4tm4lbqUge8ztdH332vvJRaogt8xRFMGcDop/6IWX66+jNnRIKg84F/Mw9ZFb5VxuvXg8Sqo8q8kuqgIIDg/J7mXhAtOtwubUjo8hg3IvjblGVZLZFdebc2Q3TtW1162aRaVDEnzijcqTre+kxVgTJyxmYUGO0ndL+7zRBzmkkPksLMhu042FSePHkhtBmvMIGs+YpxujrJGNYu0waZjcPpq11Bau3MIxbKx5nBvfJRcTiHT+cEgLntSKrzhlsTCePxCwd7EQlCO1EADHwgrMzr1QyQKR3Vq4DgPr3hvsrFx1x036y6Pm8WsoHy72w9Ei7LNWzNQ+JSZr1ni3hOQn47sv5eXWJbmN8Pc63EIbsJQl7NIrIS1dqeUP5uWrAfd+9glh/HitcLIgiwpiqWJBZoxBOnOQfuxauVgAQHyisu0NAKk8tZd1Hx2VWdFY5PfbyHsPPxGkG/6sq2RpRJo+13wwdE5pym3w/P1t5ZhRQWYeW0XL5Ptu7GOwwto1wK6Psx4AEy3HHI9gQfZ4tDHCFzq8IMZFl4PlXqYV9+DPq6xULdyjnM9hXDu5WBgxGhJ0CrLN55u1BBszBez6Weoh1vds5yBvcYq2UpDbd4b01xcg8bRtdq4ndohzj9P75ED9VpBDBRfsYN16wfPECqVUIn8JvD6oT874IFQfZPttSa2tgwWZSZoQsU1p4rMPdog2zRv/yOWTtWwWguVGsipaIrqfRLJK5IPTrYLsZsvT7ncrrLJY8JVxnM33MBb5CMHOPM+isct+WLk1DBujZIg4K9c0NkyWR4+oIAtjyiP4lRmzMPBzGC2tVgqXTmAq74ouJU5lLcjGLCt8ohK+N1dCZbcKslOAFT9n246K1Uvsv50FWb0H4Ve+zOsFOigpDfmzkkZO1AqScIylft3k5vZ6wbKFoEinFIGmanwBs5wxuqx07AZ29gX6Y1ZuEqkZkIaPV76fuMDI6QDp6j+psos1bQE2YLD+s3wiFRVkF++Jbty7UUzdwOUVt7QFyvS5sQEtQFvsizcSBdlCfvv9SgBWqDAME3OTu1x8O7oRiNk/7nxIO+6kIItpGoNBsyxRfxYXNnoXC2nQMKU4UCj3rTTzPrCRV1nuVLBrboV09+Pmfoj31G9TUEZwsWB9BuorWRoxprMDtKxUIsY52yPZz50mFwu/3jVTliOad1mn7jqXBxWf4IMsecwuFvwacfGQxl2rLiak8Tco37tVW71RwTi2dLuD7o0/zCgnPZK2S263q8IYpKEjtEVs19MgTb0D0vgbIc1dHPaa9ulfLVwOXbtAhndvDEf9DdID1FyQ7KLLwTr1cG6clBzKYhGnzZN2FmQ3JmSd0DFaQAWrYkYTJdjkRYMw8Xrtt9DFrS2HID1H+HcTLDesd39IN89B8KkHgKxmkCZOAzr1gLz6FaWByQfZhQXZ7cB0EjjG6PwIlDY2YiLkt15WfomLA4oLtfRipj5wy4XhHFf/CXLeAeCXHw39ilJBTkrWLArChGFZIporIwYfZF3gRXIjZexyuK/owFzDubS+SHc+pPjgi8U2LCzIzCO52jCxxW4b0+iLCDj7tOrOGRoPp50Zvq04Vqyi9qFY/OSCk2Dde0Pmz7h1O9vJhHXtBfn7LZAPH9AOCs9GummOXtEFwM65AKxJcwT/8aS58ALHaSEYzoIMKBX7RLji0qwl2JmDwM46Xx98A+hdLDKbAnkH9d87XDCSUcHhY88u968bqkpB5gthSVICtQwuFtKSFdaTrV0OdwvUoE0Rfk94iebUdEGJZErZahtLHrvuduCHre6vKbrAOQXpGS2ougWMzWLGIoORmBmFNW0BNmwMKt5WXF+kvzyitpOMCyeO7r1372Jhi4UBhlmVurZwsbBVtJq3VNwu4/zAoT8Anw/SpOkI5nSA/M+n9H2sDB6fouBWlCtykr8nIaWX5XSADIC11H8fltMBnnl/U34ecD7kLz4OnU//faQFTwBHDof+5s5nGoA577Pk0QcIOsEXIuL9cagk7ORiYcLCB5nlDrfOfIUIXKEcqNcKMkJO59Ioh/yenKQULc1bOBeLcDl2AZ3QMVmxDcKR9TnLrCCLWTOMiANEOLf08AuRv7hGK5NapU8CM6apMSnIDuflip3bLXoHv183wToAIM15FKmNG+EEAOnW+ZDXfQA2bAzAGOQ3/6lNIOFcVwzClHk81j6Bbr5bOGWeTxhxcVquUP3FtWsZqxCKCjIAdv6lyv8pjZS0UU4WZH+8kkWlQPiuVi4WqltRFRUK4YgLg9FXA14f2OkD3J3T64O0/C1X25u2kfACLDUdnmmzIW//Vlsb33qPbTAgO30A5NeeU4pQCH1S4b5z4mfi/ECPvpDm/g3Bpx8Adv+s/TGrGXD4gHnycUrzZvWeG3cSBMu4FCr/K/MctJzQokS67R4E31kRUpDFHSrNxcISY7+sJiK798RuTFWZBTn0ngeDilwvL1dyK3PZZLd45/fNTRpPy/gTwz1JzdCOlZdrLjQWSP3OBawqgdldU7yHlhZkZm4HOFiQRVeXOOufjfD5sFGaYi13QueDHGftfihpc1BYrBYxLVwoyMw+iwVLz4Lnry+gYumDIQXZXPI8asOUCH8GZWUGH+RQdq3e/SHdtwyMB5taIF0zA/JFoyF/tc40R7HUDDW+ikkeRbY55RbnmCzILnyQOfw+6+S+Cznt5n5yWST0QRpnEbNkRZQypV67WLAeZ7hvzAeF6GJhfGjqxBGhBdl43GkiFNrZ5jG1245Iy9Dyz4ZDLWFr0xerHJdG1wQ3FmQOv7/GUr927cMgLX7ZdIy17QBfaPJhp3SFdO1MvR8vz2xiW72QL4AshIjlM3KTRitMG/7iWqUCFK8rClBAv0WYkAjp6ZVgY69V/8wap5l8AXWLFatcr2qat8q58Oiwew9EBTmlMaSrbgofXHlqH/WczE0GEeitCCyca4YulZR9X1h6FtiwMZCmCQFsFj63lp9NTTeXQuVpvooMKeYicbEAtLLv6gG+4BPklVGmqDnd/YLlzsKCbIcLBdn1jk/oWmGLorgltKCXA2V6F4tq8EHW5RM3Pv+kFDDu0lYV3010vevWC+yMMAq1FcbFNsfOguxkTVcry7rIFCBWx2NMdz+kOx6AdO/TQh54F/E1jOmD7AEgPdPUTja6WEiesAtsxpX3UDsm+rHyvrk03ljC7y8veKW6WGg7AU7KsdqmWbbiEuXUF6tgTTuMCjKTwmex4BjdQwBrXcKImzbGLD8R4NbIZqReWpDZdbeDde2lRE67/UzjdEXtdRWk50ZBtrm1VpXZrCY7N0U43KzM7ODWBqNQ8zgMQqPgd7q8uMp74BnlBTtx3N4PNEJFjKU0UgqtFBW4aBz6nwfq2BT/YAPOh/z681o2CxGrSdWNb2W4jBh8wrBV2m18kIUgPeZPcKdUWFmGrVKr6QqUVGKMAfaVCN0W2RGQbrxTqYwWbZ/sfM85LhVkAJBGXqU/YLX4sIH1Hwx5x3fA1k3KuQZfjOC2r7W0ZFbnMblYuLAgSxaTot2iO85v7YPPz2F3zw05aU2pIJ0wytFm2cD+350LQUQCf6fKA6F3P2D2QbaCZ0FwkxqKK6uiL6ih/4wxYNJ0sD4DNUW5MsSLKc8k4OIxigUxEuzGty6lpqggu3hf3bikpGfpzUtipoyO3QEAciQuFgCk2Q9BXv0vyF9+opzHYqxKZ56H4DdfCAck3Zhm51xoPjH/zjzNqigfqlBBlstKAckD1rq9cm/cVD2NFJvdUUusXELdWpDV3RlhMSHe50uvhPzOq8IHbIyRDueudOB4BNRLCzJr0Toi5RiAVhDAyXpiLBTihJ0VKSnFPADDDQ6jT1VV+D8FQgqyUag55Bo0HbPqt5Ufa1YzsORGYNkOzyWKYDDWLBusXScXDUMv7cAhYFdMVQoRWDUbcpkShGKxtc6svmuVWpBtJiD1eRhyt0oezTru1r/KqgCIx0IZrkIBpCuC0FPY0YnULxWKwsLsdiDcEE55EyZA165BvL04UYbJ58wSk+C5+S/a791Ph7T8TXOVS11uULMFmfU9W3/M6ELCLCZFRwXZakxE6IPslAMXcF54hIrWmNxAokVnQeaFQiJI8+ZGKeTfR7T68Qp59y2DdNdflWPxCUou/arA+L5Hs31ss6DWjXsxPsVB+ZWmzQY6dHVXudG4CHQK0nMJy2gCJlbOs2pzWj9Iz6wWriFBHdQdukK66ibzh3xGBVmYF6rSxaK0RNkVa9Ea0pOvKZlFqhrVPTS8gsxahBZxajXUCHyQe/QBu+QKsCumCicUdvEuHgvG0wrKsmUeZPuORRikVwXUSwU5KoEhVnKrCguynRBOTjErIA6rUGnxy6qQNfWjMuFT5aGX3ij4hBQ7RhhjSmQyX+FadTvSVCzG61YHvJ+SBOn8S2wrtjHG7IV8lBbkcC+zum0XLnDQaInm146PVwJM3WBhQVYzEpxxjvbsxGcfre8xR7CYeabPBRt0kXKJylqmoyGMhSusC4Zb3KbyEq9tNU7Ed8io0EgS2HUzwSZM044ZLcihACbWTahIZ7fTYOdiEW63yqQgOwflsmtm2P5NumwC0DQbrGtPx3O4RbVml5cr/eQBUeEmWDWLhYvxYMw8AKj3hDVt4W4BHykWWRZssXlszO67iUWGxPv67j4tAAAgAElEQVTkcA3WewA8f15k3wcR4wLXKc2bkzLXqq3ecKRmfHDopyhzJEm7NzYijo9D1qqdciDFwoJcGXQuFiF5HG0+4XCE4iJMblgWsDanQHrkJS0lJNMswuEMB0zyQLpsPJg4J4kWZI8HrGc/8wfd3M/QbhZz445RRdRLF4totm9V60tBvr2CbFEoxA47BYD1HgAcP2JsbH8eK4trFVqQTYLSyQcZAGvVFiwtQytRatU3N9uYphOH+U4du4F1jnLitPLFjBRLi3p0WSx0cIFlN2btUtuErI3SbfdqhRsi6YvoAvPECiDOD/mRORYf4kR374zjV5owDRCVulhSVQpwOKJQkC1xKhQCpgTeiOMmUT/5saQUSIue1bsMWQVFAYpiYVXBL0y+V+b16UdGmAle6ns2gmCQn3kYsmFMsRat4blvqePnIyKkLKk+yICijIRzBVCzWLiYRwyZBwA4l0KuCqrRgmw7dt0sFlxgUrAsLcih8eeQ1cZjTCFnCFgO2w83/s2nnQnp0X9oac/EIDh1Z6UyLhaCBbkq5nQH2EWjwZq3BE6zUE6t2jdOgywGeIbLg+x4MmNOeL923C5jmOVplIxKclCujHNpRMRMQS4qKsJjjz2GYDAIv9+P2267DV6Ll7GiogLTp09H06bKimfKlClo3bq1qZ0jUbzMLLmRcvMLT2rHbNO8RQ875wLTdlXE1rQqUZBtLMhuHOHjhAFuxGqSdUOY7+S548HIzicSSYCC7TmsAynD4lZBthsDNn5X3A2Ete0Yvg9WfRG379Vc3BYmlSqw9LKzh1rmm4054XyQq4poJhHL84gWZGO5W8NOTUKi5c6IySXFTnnzRRmkZ1S0WoSX1eq8WMnNibCEJnU5END6WVIc3iVJraTnxoUq9B6V2/sgVzUmJdNBkZcuvBzBn7YB6U2A334VPhMmUNlIlKV6rWC5lwlWegcXCzcZFzjcaOVSQVauEcaEDOhyAuv0gSqYg5nXq1y5rDT6SnQRXAt9Bkb2IUlUkLmLRRQ6kHEO4bKsUSpsa05Y9ocbuiIYF5UkZgry+vXrcckll6BHjx74+9//jq1bt6JPnz6mdnv37sVZZ52FiRMnRn+xaF7mzj2A7DaQLr0CwccWKMeqQUGuEutSVSjIasGG8NX62HnDIK/9t/a3OH10r44oXSwiKSUaMVWxnW/pYhHBBGoH3xYvK7X+u6RfsLBx12k+YpFiFaQnEn6+iO6yVlWkaoJqnoRUqsOCzBWJOD/g9ULi1TC5Auti61RpbpdVxKcF2ESiCIjZEK65Vav25Ypq1pD5gihQpinFBfmWWQ703TJXwbSDdTpVyVXb5yzI6/8T+lyMN2YdrsdyOsDzt1dQsXie/g9ugvREotmVtUEap2XbsVxMuHGxMMIzwLiNPRKD9KJxI6uKOUV1sShzLi1eYwj3h7sCRiPbDItsFucHu+pmsC49EXw+lM85kjzIkTyvtEywbr3Ct7MhZm/yBRdoFZzy8/PRqJH1QN65cye2bNmC7du3o3Xr1pg6dSo8ka5aokilwxKT4FmwJPRbmEp6lSCSIhf2J+HnqIKX1KggWyT6lsbfCIy/0eIzDhbkGDrSh4ULs0gErhGbVHy2uAw+YEnKzoVq0TddV8iDDEDKHe7cTyfE98LKws+cNOQa8BmuatxE2V9xvb7oSjS4VZB691cj963PI4wdbqFs0gKe+cL2Mh8fLhVkO8S82rotzHAldUUFuXMPd7thsfI/D23lyuUBsKzmyqg+eSK8bOIWKhcyjDVvqZUz5lRVmjqXuLrnRqXCro8xsCDrsFKQWRSWwkxlp8T1Ak30QY4Kfj8rcRIuJ8pKYpqZwTWiQlqVLhYApHMuCNvG/KHI53HPw8+7bmtFtSnIzzzzDP744w/19+7du2P06NH4+eefUVhYiI4drbeG27dvj3nz5iEtLQ1PPvkkvv32W0tL85o1a7BmzRoAwKJF+gCBrCaViHQHcAgMMoBGjdPgz9SsDXKgDLzyeWZmGCsEgINCW/Fnp7YI0w4AgvFxOAwAzN25na6X1rQpvMLnyg6m4BgAX5wf6TbnK0xNRwGA+MQENDK0OeRREpKnZ2bBE+E9qgq8Xq/pXEXJKTgJID4+3tRft+QnJsJYrycuPh5pNuc7LEkIAkjNyIDP4ZplLbJxDIBUUW55D/J8PlQASExOQXIl71GFV0Je6OfMJk1Nq/ajcX4EADROSUFc6FqljRrhOIA4n8/2u9ZW+FhQx1izZuGViXHXRH09fp2sLIfKUSLzHnX8c2FKI/Akhuk57ZAHIPn8i5EkPIeS1MY4ASAuPdP18xHfueKZC1C68TOkZmbieEICSgGkJCciIXSuwPHDOApAkiTL8Rk4lgm+nEjPyIAnQ2tj926XNE7FCQD++ASkVuOYCvo8ipwMBJDe9VR17Pvj4x2ve9LvRxGAxORk23fO6rupMjWriU6mVgfG64eTo6WjJ+H4fbPAGqVCzj+OpNQ03Tjin0/NyNTJK348vVlzeMIVAYkSY99PJiejCEBSfLyuj45kZiL4ykeQLCrrWV2rUWoqWEKSMtd5PLZznZH8iy5H8PhRJKel4QgAj8V845ayzEwcA4CyUvj89vNtTVGQlIhCAIkJCUjMboXDABKSk5ESYT/ligpbvemo14sAgJTGqYgPc94TCYkoAZCSnKTKp+qm2hTkqVOnmo4VFBTg+eefx+233277uTZt2sAXWt22a9cO+/fvt2yXm5uL3Nxcy7/l5eVZHneLHFq55hcUgAnnkoUVretrtO2oa+v2c07t5OKi0A+I6twixwqL9N/x+HEAQKCiwvZ8wYBizSopKUWZoQ1fVx89cQIsgiQplX1mnMzMTNO55A7dgYRElPYbFPV1gmXmKlVlQdn+HoVWucdPntTdXyNyhdIuWFxsea6KUKBKUWkJSio7rgUr0pGjZitpRShw88SJE2qf5Xwl5VZZoKzKnlGsMI6FI0eOOLSuOqrqPgWFEqrHJB+kv72MoqQUFIvva6GytRyI80d83by8PKBLb6BLb+Tl5anv9ckTJ1DIn/8J5fkHZeuxzq8PAEePHQOThcqet94DuajQ/D7mdAIbNAyBS8ZV65iSQ/ePJSXjaHlQycVeXIRSB9kGAMECZVlSVFIa9p2zOs+xkwWO73xVwKb+Gcxvfua236tNR3j+/jYq5k0D8o+jMFCuG0ccO3l19GQBWEX1usTwvgdLFXezwpMnLfvoSJF12WEj+ScLgEQljqO8c0/34zBUlffYgX0AFPkc7RiWC0LvTkUFAsFgrZOvweISAEBRYQGKCwoBxlBcFkBphP0U5x3jd+RzzsmCQhSEOW8w5IYoyqdoadEifAEWIIYuFuXl5Vi8eDHGjx/vaGFZsmQJRo0ahdatW2Pz5s0YOXJkrLpoxmhtijD3ofTU69XjalCV/rrGyH6+feFkaXPyQQ5XWKAGYGkZ8DyxonInidTFQv1cuCC9kKtRwKpMLLQtraoIEA3zTKTLJys+YW07aAc79wB6ngFpdPSWVSJKDM+cWQUgcXcrt8FJjtfj2QMsyo/bbSWLOZ8NmW9Yt17WmSC9XjCrsupVDItPALvqJqQNPB/HGAOatAD2/hLezY3LwEgDjTnVHKQHAFJffcCVdMs8IC0Cq5qti4WdD3KMMsAA0fkgu8XrVdyVJAksIwvSX1+0L17lRFWsFcRnUJtcEjmCjzZjDGz4lWBdI/fndeUC5CpIL4I0u1VEzBTkTz75BLt378aqVauwatUqDB06FK1bt8aGDRtwxRVXqO1Gjx6NJ554ArIso0+fPujRo0esuqhhk3qEP2hTqVgbXFViiga1X1UwUIwZPxKV/IWOFZ/cZLGo9hD1GBOtghzOZ4vni7TLLsCDI6o5DRCgZMTwLNSn2WK+OHimz632axMWuJk0pciC9Byx8v0MG6QXQcaLGkA650LF1SsvT80LXZU+yJbE2AcZAFiPvm5bKv/Z5kG2/s52ueOrA9ajL+R3/69SwVW2eDQFGQCYTVXV8PAKcJXsC6eWK8gAIF1yhUPjKLFLqevUn+pYONkQs1E/dOhQDB061HRcVI4BoHXr1njkkUdi1S0b7B+atGRFdDkhO3YDft5eyX6FqMqJyBDNzNq0hzRjAdDpVPvL++JCeZAtpENOB2Db12GridU5LAQYcxOwEObFZ3F+sNFXg3U3+9kD0NLrVJUAbdsR2P1z1ZyLqF7cKCVq/lf3CrI0bTaQYmE1UyuFihbkMJX0RGWwFu0aWcIX9uEmY1VBtm8nPfS8/fOJdRaLKLAtTR9DRdgO1rajOfCxqs7tCaVWq6zBIWTYiDo3P6C717rCGrWFymT5cEsECjIbNhbygf+ZK4hWIzX/NtRGHB4aC1Mpyg7ptoWOic8jIjSRseHjK30qy9yp3XtbtBRwsCBLU2cBv++pnS98ZYi6UEj4V0y6YJTt31h8giLQqyjKWZp1P1BUEL4hUfO42YGKwoLMeg+wPn7JOMh5B8HEfKlSGBcL0Z2gFlqQRVicP/QuhVOQeSYf+3eOOaWKqwELsmtYOAtyPVcJvFXjssYapUG6f5mSXzrqvgjjpF0E+exjRSwUZOO1nJpkZMFzxwPV3xeBevM2SH99EcE7rq6ak0VQ3cUtzOt1tTqX5v4tbMUvxli1rbBd4eCDzOITgQ5dY9yhGGAlUKuiUEg4eBGPKrLOsTh/bP0JGxDSjAWQ84z5aKKH+ePDOyqFcjuz1MpnGGDpWfDMXGg46D4Pcq23IPPdsnCpF4eNhXxoP9gZUVqq6oKSaZfXuAbSjUn3L6/SPMtOqMU5qqLQRxN3gV62CLu3rF3nSvamGoilghwDF8JoqANvsjui9yWygvsXxf6hsTbtY37NiHHyQa6vWPogu3h9KnuLeP5JuzzJRFjYuGtjUkWPde9dtdmi3Sxk2naENHNh9S1KwwXdeu2D9GodXAkL5/aUkQXP7fdFfZlqLXpUVbgM0pNumVeliz4rWCyrbPLxWhueUaNUsItGQ963B2jdrqZ7Y4K17agUwWkfA+W9NjwPC+qNggwAaN/ZXFo1GuTwW2wNGl8DVJCF78rOuxjy2vdiY23hLj08tR8RMVLuZTXdhehwU9iEMaBLJfwgw14gjA+yx6O8G7Jc610sNB9kkutug/RYj771oUSQiho3UgsUMsYY2KhJNd0NW1iXnpAefQmsUVoMLlbzz8OK2tmrKPHMfhjS9bMqf6JqcLGobbC+Zytpj6LBqZJefYX7fV8wCtL4GxRrlFOJ1ytvAFIaA4mVzC7As1iUuMvvSdQjYlUa24kwad4YY5pVrrYvmH3uLMhR0yy7es5blfBnZLe4rwvuIZVBdXOs5WO1llDtyjF336ilsqOevw2VpJY+tKpAmnpH9B9Wtyrr7/0xwSfVUIQ7u+pmsDan2DfvOxAw5CqNCj9XkMmC3OCoDQoyx0kWen2KC1AttQKpcAW5mtJESXc9AhSerJZzx4x6bBQChKD0qgqYJyoHKch1kEhy8zVEqtCCLE2bDflkfqXPU+0YkpRLZ54Xk8uyjCbKhkY0yeyJuk1tCKZ0E6DDlY5aOsmp8PtZUV4tp2eJSVqu5VoKa3MK5D9+04J/OUkpQOFJd0Ud6jJ8t6PcpjATUT2kpoOdfUFN9yJiSEG2hBRkR3wOlfQihPUeUCc2u9g5FwD/2wN2ybjYXrfraZCm3QWcapMnmai/hMlmU2vgAV+1fUepmhXkugCbOA3snAtMsTrSvL8Bv++uoV7FDjX/cwyLTRCA568v1nQXooIUZCsagA9yZWCSBHbJOLAeZ9R0V2IG88eDXT2jZq7du3+NXJeoYWqDBZkTzsUCqDsuFuUNWEGO8wOndDEfz2gCVEWAey2n8Yy7ceTV54B2nWq6K4SO2rm4JgXZkjpmQe50asy3jKTLJsT0egTR0GC1IduCGxeLUGBXrd+e564gDVhBbuh4mjSHNOHGmu4GwZGroGR3NUIKshVyzeVBjgbPrPtrugsEQdRH0jOB5q0gjb3Wvo3PVydkJS8zLFOAFkHULmrp4poUZCvUIL1aYMEhCIKoIZjXB8+9Tzk38vpqv/8xoFmQG7APMkHULmJQpa8S1P5lf01AWSwIgiDc4fXVWguQDg+l+CKIWoXqwlU75QdpgE6QgkwQBOGMt264WKjFMciCTBCEC+qAVKtB6oJVhCAIoibx1TELMuXAJYhaATsrV/khPbNmO2ID+SA7QRZkgiBqEGnW/bU/Z6vXWzcsyEnJAACWmlHDHSEIAgDY4EvAzhtWOzL2WEAKshOkIBMEUYOwTqfWdBfCwrw+yHUgSI9ltwGb+mewbr1quisEQSCUGpLVTuUYIAXZGVKQCYIgnKkrQXoApL4Da7oLBEHUEUgDdKIWr2wIgiBqBXFxlBKTIIh6B1mQnSALMkEQhCPsvEvAOveo6W4QBEFUKTFTkCsqKjB9+nQ0bdoUADBlyhS0bt3asu1rr72Gb7/9Fu3bt8d1110Xqy6aiaGCLD32r9qaCpAgCMIW1rwl0LxlTXeDIAiiSomZgrx3716cddZZmDhxomO7Xbt2YceOHXjggQfwxhtv4LvvvkOPHjVknYihgsxCEdYEQRAEQRBEzRIzBXnnzp3YsmULtm/fjtatW2Pq1KnweMx+az/88AP69esHxhh69uyJrVu3WirIa9aswZo1awAAixYtQmZm1eXROxj6Pysrq8rOScQGr9dbpWOBqLvQWCAAGgeEBo0FIhKqTUF+5pln8Mcff6i/d+vWDfPmzUNaWhqefPJJfPvtt+jTp4/pcyUlJaobRnJyMo4fP255/tzcXOTm5qq/5+XlVVnf2bkXQl73QZWek4gNmZmZ9NwIADQWCAUaBwSHxgIBAC1atHDVrtoU5KlTp+p+DwQC8Pl8AIB27dph//79lp+Lj49HWVkZAEVZltVa3bGDTZgGNv6GmF+XIAiCIAiCqHli5mS7ZMkS7NmzB8FgEJs3b0abNm0s27Vr1w47duwAoPgt14SbA2Os1lZ2IQiCIAiCIKqXmCnIo0ePxpNPPok77rgDHTt2RI8ePVBQUIBly5bp2nXu3Bl79uzBCy+8gLfeegsDB1Jid4IgCIIgCCJ2MLkmfBjCUFZWhi1btqBt27aqP3I4RH9nouFCPmYEh8YCAdA4IDRoLBBALfBBrgxxcXE488wza7obBEEQBEEQRAOESsURBEEQBEEQhECtdLEgCIIgCIIgiJqiXliQZ8+eXdNdIGoJNBYIDo0FAqBxQGjQWCAioV4oyARBEARBEARRVZCCTBAEQRAEQRAC9UJBFktOEw0bGgsEh8YCAdA4IDRoLBCRQEF6BEEQBEEQBCFQLyzIBEEQBEEQBFFVkIJMEARBEARBEAKeBQsWLKjpTlSGpUuX4q233sLx48fRtWvXmu4OEQOKiorw17/+FevWrcOmTZvQr18/LF++3DQOaGw0DI4fP467774bQ4YMsXzmNA4aDs8++yyCwSBatGhBY6GBUlBQgEcffRTvvfcedu3ahdNPP53GAhEVddqCvGnTJgSDQdx///04ePAg9u/fX9NdImLA+vXrcckll2Du3LlITU3F559/bhoHNDYaDv/85z9RVlZm+cxpHDQcfvzxRxw/fhx9+vShsdCA+eyzzzBw4EAsWrQIxcXFWL16NY0FIirqtIK8fft29O/fHwDQs2dP7Nixo4Z7RMSCCy64AD169AAA5OfnY/369aZxQGOjYfD999/D7/cjNTXV8pnTOGgYlJeXY/ny5cjKysLmzZtpLDRgUlJS8Pvvv6OwsBBHjhzBoUOHaCwQUVGnFeTS0lKkp6cDAJKTk3HixIka7hERS37++WcUFhYiIyPDNA5obNR/ysvLsXLlSkyYMAGAtTygcdAw+Oyzz9CyZUtcdtll+OWXX/Dhhx/SWGigdO7cGYcPH8b777+P7OxslJeX01ggoqJOK8jx8fEoKysDAJSUlCAYDNZwj4hYUVBQgOeffx7Tpk2zHAc0Nuo/b731FoYOHYqkpCQA1vKAxkHDYPfu3cjNzUVqairOPvtsdO3alcZCA+X111/H9ddfj9GjRyM7OxsbNmygsUBERZ1WkNu1a6dujezduxdNmjSp4R4RsaC8vByLFy/G+PHjkZWVZTkOaGzUf7Zt24YPP/wQCxYswJ49e/DNN9/QOGigNGvWDAcPHgQA7Nq1C4cOHaKx0EApLCzEb7/9hmAwiJ07d2LEiBE0FoioqNNZLJo0aYKXXnoJ+/fvx9dff42JEyfC5/PVdLeIambNmjVYv3499u/fj08//RQ5OTlYs2aNbhxkZ2fT2KjnnHfeeRg0aBAGDRqErVu3YsGCBaZnTuOgYdCqVSv8+9//xgcffICdO3di9uzZePXVV2ksNECaNm2KZcuW4ZVXXkFKSgomT55McoGIijpfSa+goADfffcdunbtitTU1JruDlFDWI0DGhsNDxoHBIfGAsGhsUBEQ51XkAmCIAiCIAiiKqnTPsgEQRAEQRAEUdWQgkwQBEEQBEEQAqQgEwRBEARBEIQAKcgEQRAEQRAEIUAKMkEQBEEQBEEIkIJMEARBEARBEAKkIBMEQRAEQRCEACnIBEEQBEEQBCFACjJRqyksLERhYWFNd4MgCIKw4ODBgzXdBYKoFkhBJmo1H374IZo3b478/Pywbe+++26MGjUqquvs3bsXkydPRiAQUI+tW7cOkyZNwsmTJ12dIxgMIi8vD9988w3eeOMNzJ07F0OGDMF//vMftU0gEMCDDz6IsrIyzJw5E7NmzcLBgwdxzz33AACmTZuGp59+OqrvQBAEURV88803+PTTT1217dChA1544QVXbXft2gXGmCt5bsWf/vQnfP3117pjw4cPx4YNG1yfo7CwED/99BM+/PBDPPbYYxg/fjxuueUWXZtVq1bhm2++wXfffYfMzEwAwAMPPIB9+/bh448/Rm5uLqgIcf2HFGSiVrNr1y6ce+65aNSoUdi2fr8ffr9f/b1du3ZISEhAcnKy+i8uLg7XXXed6bOZmZn44osvMH/+fPXYK6+8gkOHDiElJcXU/sSJE+jSpQvatm2Lli1bIiMjA36/H4MGDcLChQuxdu1aJCYmYty4cQgGg+rnfD4fduzYgTvvvBNerxc+nw8vvPACjh8/DgD48ssv0bx584juEUEQRLQsX74cN9xwg05O7dq1CzNmzAj72by8PBQUFOCSSy5xdS0un/n/9957L3w+n05GJyUlwev1Wn4+OTkZV155JYqKigAAX3zxBT766CNkZ2dbtp8+fTrat2+P1q1bo0mTJkhKSkJOTg5uueUWrFixAkeOHMGAAQPQr18/VQYDQEpKCsaMGYOioiL4fD7s27cPy5YtQ2ZmJrZt24akpCQwxlx9Z6LuYj0KCaIGmT59Ol588UUAQFlZGQBFMBr56quv0LVrV/V3SZLg8XjU3+Pi4vD+++9j0KBB6rEFCxZYbgkmJSXhiSeewCeffAIAyM/Px4oVK2wtE40bN8a7776LlJQUNG7cGMeOHUPHjh0xcOBALFu2DABQUVGh6w8AHDhwAOPGjcPu3bvx9ddfw+v1IhgMok+fPvjjjz/w448/YvDgwS7uEkEQROV55plnMGnSJCxfvhxz5sxB06ZN1b917twZJSUlaNq0KTZt2gQA2LhxI3JzcwEAsixDlmW0bdvWdN4ZM2bg/vvv1x2TJMUmx+ViXFwcJkyYoMp7ANizZw+6dOli2dd58+Zh586dOHToEHJycrB06VLcfPPNltcHlF3FO++8E2lpaUhKSsLYsWOxfv16vPbaa0hNTbWU0YCiwF9//fX4/fffIcsyNmzYgPHjx2Pfvn344osvMGTIELvbSdQjSEEmah2MMcyaNQsLFiywbZOamqpaGV5++WX89ttv2LBhAw4ePIiHH34YzZs311mTReLi4tSfP/30UwwdOlR3bOnSpQgGgygpKcGAAQMgyzLKysrw5Zdfok+fPmq79u3bA1CU+CuvvBLDhg3DE088AQB4/vnnsXDhQrz++uu6z2zZsgWLFi3C8ePHsW3bNrRv3x7t27fHV199hUOHDqG8vBzdunUDoEw+OTk5+PzzzyO8gwRBEOF55513cPjwYUybNg3//Oc/MW7cOHWBz/n6668xc+ZM9Xefz4fMzEzs2bPH9ry33nqrzgXh+++/x5tvvonS0lIAwKOPPory8nKdS5uIKI8BRdbu379fVbDff/99AEBRURH8fj+WLVuGiooKXHfddViyZIn6uSZNmqg/P/PMM9i4cSM++eQTpKamYteuXbjwwgtx9dVXY86cObrrzZkzB3FxcZg3b566y1dRUYEmTZpg/fr1WLt2LRYtWgQAKC0txX/+8x/06tXL9n4QdRNSkIlah9WK3gouRLdu3Yr//ve/2LJlC/x+Pz766CN0797ddgtMPH7OOecgPz8ffr9fPT5ixAiMGDECV199NQBFUQ0EAqZ+BYNBrFu3DrNnz0a3bt3w7LPPQpIkzJ8/H++//z4effRRk9AcNmwYzjnnHJx//vno0KEDzj33XLRq1Qp33303brjhBsyePRv3338/tm7dirFjx2Lt2rWu7gVBEEQkFBYW4pZbbsGIESMQFxeHYDCI119/3XLXrHv37urPkcpnQNk5+/TTT3Ho0CEAwJo1axAIBHDWWWdZftYou7dv3w6v16saRd566y089thjOj/piooKVFRUmM7166+/YtmyZVi1ahU+++wztG3bFhs3bsQ111yDq666Ctdff73pMxs2bMDDDz+Mffv2obS0FH379sVtt92Gn3/+GR6PB/v37wcAnHbaaViyZAl69uzp6p4QdQtSkIlayeLFi/Hss8/a/l0M8njkkUcgyzKaNWuGwYMH4+WXXwagCK9Ro0bpBHVBQYHOB1mSJMTHxzv2hTFmsmjw41dffTVKS0tx5MgRZGRkICMjAw888ADuuecelKI46KIAACAASURBVJSUmCaTvXv3YuzYsTj99NPRuHFjlJSU4P/+7/+QnZ2Nt956C2PGjAEAHDp0CFlZWZbXJQiCqCxTp05FcXGxapXNy8vDddddh4ceeijsZ/ft24eWLVva/v3EiRO4/fbb1d9zc3ORm5uLO+64A99//z3ef/99eL1ePPbYY1i8eDE++OADta2VkhtORgOK4m6lvD/33HN49tlnkZqaikGDBuHgwYP405/+hC+//BKJiYnw+Xy69uXl5ViwYAH+9a9/4YUXXsD48ePh8/kwduxY9OjRAydOnIAsy2CM4dChQ2jWrJl6D4n6BT1VolYyc+ZM7Nu3z/afMWhv8+bNOHToEH777Tc88sgj6vFVq1bhwIED6r9Zs2ZF1Z/y8nJTujnGGLZv345nnnkG559/PhYuXIgffvgBY8eOxdGjR3HllVfinnvu0W0jrly5EgMGDMBjjz2GuLg49OrVC6+++ip+/vlnlJWVYdu2bQAUBblNmzZR9ZUgCMKJTZs2YcuWLbpAvIMHD2LZsmXo3Lkzmjdvjs6dO6Nly5bo2LEjcnJy8OSTT6ptW7Zs6Sifr732WsvrvvfeewCA+fPn4+jRowCAcePG6WT05s2bo/pOsiyjuLgY5eXluuP33XcfPvnkE1x55ZW4/PLL8dNPP+Hhhx9GamoqlixZguHDh2P37t1q+127duGLL77AunXrUF5ejtzcXMydOxdXXHEFXnrpJXg8HuzZsweyLOPo0aNo1apVVP0laj9kQSbqBU899RTS0tKQnJyMF1980db/2EirVq1Mlt6jR4/ivffew/Tp09VjFRUVSExMxJEjR9RjY8eOxcqVKxEMBtGvXz/897//xbJly1BQUICSkhIwxvD555/j7bffxiuvvILOnTvj5ptvBqAEGD799NPYs2cPkpKSsG7dOjz44IP485//jEAggB07dqi+yARBEFVJv3798O233+r8jb/77jukpaVhx44dSE1Nxe+//46BAwdixYoVqo9vZVi7di0OHDgAQInbuPTSSzF8+PCwn5s9ezb+/ve/6yy9xcXFyM/P1wVv81iRN954A5dddhkA4M0338TEiRNRVFSEnJwctGzZEiNGjEBBQQEKCwshyzKCwSDOOOMMPPTQQ5gyZQpOOeUUvPvuu/D7/Rg8eDDuu+8+eDwenHPOObj44otRUVGBzz//HBUVFWjVqpUr6zZRNyELMlErWbx4MVq2bGn7T3Sx+PHHH7F69WpMmTIF6enpWLVqlRpActFFF+lSCD3wwAO66/z+++84fPiwznohSRIyMjLwyy+/oKCgAAUFBSguLtYpx4BiBdmwYQN++uknrFq1Cu+++y4YY1i2bBn279+P/fv349ChQxg+fDiOHTsGAFi4cCGys7Nx/vnnIxAIoH379khKSsKmTZtw4403olevXvj444/xxRdfoF+/ftV7kwmCaLCIil1+fr4pv7AR0YjAXSzs/j333HOmz999992q0eGBBx5Ajx49kJeXh1deeUUno42GgUWLFuHIkSM6K/OAAQPAGMOSJUtUGV1YWIhAIKAqxwBw/vnn4+2338a2bduwbt06rFy5EmPGjMEZZ5yB3377Dfv378fBgwexcuVKHDp0CBUVFfjpp5/QsmVLpKen47fffsOMGTOQmZmJ0047DU8//TSGDBmCd999l2R0A4AUZKJWEomLxe23344777xTTejesWNHPProowCUaGcuQAsKCkzRyiLBYBC33norRo8ejTFjxmD48OGOVaK6deuGFStW4LnnnkOLFi2QmZkJj8eD+Ph4HDt2DD179sTq1asxf/589O/fH4Cy3bdr1y5kZmbihx9+wIEDB9CpUydcddVVAIBJkybhwQcfxH//+18MGDCg0veRIAgiHC+88AKGDBmCP/74A6eddhpOnjyJPn36YNu2bRg2bJipEEikLhavvfYaTpw4oR5njGHp0qXIzs7GhAkTdDJ6+/btjn198803sXHjRqxevRq33nqr6rZhRaNGjeD3+3HTTTdBkiQ0adJE9Tv2er24+eabcfPNN6Nfv36YPXs2PB4PunTpgqNHj2L06NF46KGHcODAAdx9990YMWIEUlJSMGrUKKxZswbLly/HRRddFOUdJ+oCpCATdZ6nnnoKd955p+m4XaUjMSE+Jz8/H5MmTcIvv/yCxx9/HI888ggyMzPRp08fvPrqq6bPyLKMuXPn4q233sL48eNN50tPT8ett96KCRMmYObMmbrtyQ0bNiA5ORmTJk3C5MmTUVpaigsuuAAAMH78eGzZsgUjRoxAYmJiRPeBIAgiUk6ePInFixfjpptuQosWLbB161YkJSVh8+bN6NKlC9577z1cc801lbrGyJEj8c4775hc3yKR0QDw6quvYvLkyXj55Zdx6aWX4vHHH8fIkSNx++23Iy8vz9T+q6++UrMSWQUVzpgxA59//jnOPPNM7Nq1Sz1eWFiInTt34rnnnsNNN92EhQsX4rbbbgOg5MAfMWIEtm7dissvv9z1PSDqHqQgE7WOQCDgysWCB2O0bdsWkiQhGAzqBGtFRYWli4UYNJeXl4cnn3wSnTt3RmlpKdauXatWxVu9ejVGjRqFiRMnokOHDpg5c6YaqDdu3DisXr0aX375JXr27Im9e/di48aN2L9/vzoJXHPNNVizZg1eeuklvP322+o1hw0bhp9++gm5ubn48MMPkZycjMGDByMQCGDOnDnIzs7Gm2++ic8++ywWt5sgiAZKRUUFZFnGE088oQsKDgQCKC8vR1FRkVqsiadeCwQCrlwsxGA5n8+HNm3aqPKZ/19RUWHpYiHK6IqKCnzwwQcYOnQo5syZg3fffRcXX3wxAODqq6/GqlWr8MorryAnJwdjxoxRC5q8+eabyM3NxdKlSzFz5kzk5+dj69atajpQQNlt3LBhA7KyslQFGFAKR3322WdYsWIFXn/9dZx22mkYPnw4vv/+e6xZswb//ve/0bRpU9x1111V/kyIWoRMELWMa6+9Vp4/f75jm8aNG8vbtm3THZs3b548atQo9ff27dvLa9eu1bWZP3++PGXKFFmWZbm8vFwePHiwfMYZZ8jvvPOO7bW++uorefTo0fL48ePVY9u3b5ePHj2q/v7UU0/J8fHx8pAhQ+SCggLd5/Py8tSfDx8+LP/jH/+QBw0aJA8dOlTes2ePLMuy/I9//EPu0aOHPHz4cPnkyZPys88+K8fHx8sLFy50vA8EQRDR8vDDD8s33XSTLMuyvHPnTrlNmzayLMvyu+++KwcCAXnz5s3yc889J3ft2lX+8ssvZVmW5fXr16vt7JgxY4Z8++23m47/+uuvMgA5Pz9flmVZXrhwoTx58mRdm927d8uSJKm/P//883JGRoZ87733yidPnrS83tGjR+V58+bJnTp1kv/3v//JsizLRUVF8jfffKNrEx8fL3fo0EH+6KOPdJ8vLS1Vzx0IBOS1a9fK06ZNk0855RT5jTfekGVZljdv3ixPmTJFzs7Oljdu3Cjv3btXbtmypTx06FD5999/d7wfRN2EybLNHgdB1DHy8/MRCASQkZEBQElOn5aW5pjRoqioqEpcGQKBgKnUtRW7du3CggULMHXqVAwcOBCAss04Z84c9OzZE1dccYXa9qOPPkJBQQFGjhxZ6f4RBEFEQ2lpKXw+X5Xk+i0vL8eBAwfQokULSJKE/Px8VFRUIC0tzfFzVSWni4uLkZCQ4NimoqICs2bNQpcuXTBp0iQ1mPHjjz/Gv//9b8ybNw+pqakAgMOHD2P58uW46667XBdQIeoOpCATBEEQBEEQhAD5IBMEQRAEQRCEACnIBEEQBEEQBCFACjJBEARBEARBCJCCTBAEQRAEQRAC3pruQFXxxx9/RPyZzMxMy+TitRnqc2yoi30G6ma/G0qfW7RoUU29qV1EKovr4vMH6ma/qc+xgfocO6pTFpMFmSAIgiAIgiAE6o0FORLkYAWwbQsKjhyAnNEMOLU3mEQ5DAmCIGIFyWGCIGozNaIgHz9+HIsXL8a9995r+ffy8nI88sgjKCwsxHnnnYfBgwdX2bXlYAWCf5sP7P4ZhWWlQJwfaNsR0m33kHAmCKJBUVOymOQwQRC1nZi7WBQUFOCpp55CaWmpbZsPPvgA7dq1w8KFC7Fp0yYUFxdXXQe2bQF2/wyUlgCyrPy/+2flOEEQRAOhRmUxyWGCIGo5MbcgS5KE2267DQ8//LBtm+3bt2PChAkAgC5duuDXX39F9+7ddW3WrFmDNWvWAAAWLVqEzMxMV9cvOHJAsViIlJUi4egBJLs8R03i9Xpdf9faAvU5dtTFflOfa4aalMV1XQ4DdXMMUJ9jA/U5dlRnv2OuILupp15aWor09HQAQHJyMk6cOGFqk5ubi9zcXPV3t1GMckYzZTuvtEQ7GOdHcXozlNSBCM66GGlKfY4ddbHfDaXPtS2LRU3K4rouh4GGM25rGupzbKiLfQYaYBaL+Ph4lJWVAQBKSkogy3LVnfzU3kDbjiiWgaAMwB8PtO2oHCcIgiBUqk0WkxwmCKKWUysV5Hbt2mHHjh0AgD179iArK6vKzs0kD6Tb7sEThV6sLPNBuv4OCgwhCIKwoLpkMclhgiBqOzWuIH///ff44IMPdMfOPfdcvPbaa3jhhRfwv//9Dx06dKjSazLJgy0BCasDcWA9+5JQJgiiwRNrWUxymCCI2kyN5UFesGABAKB79+6moI+srCzMnTsXO3bswLhx4yBJNa7HEwRB1EtIFhMEQZiptYVC0tPTMWDAgJruBkEQRIOGZDFBEA0RMgcQBEEQBEEQhAApyARBEARBEAQhQAoyQRAEQRAEQQiQgkwQBEEQBEEQAqQgEwRBEARBEIQAKcgEQRAEQRAEIUAKMkEQBEEQBEEIkIJMEARBEARBEAKkIBMEQRAEQRCEACnIBEEQBEEQBCFACjJBEARBEARBCJCCTBAEQRAEQRACpCATBEEQBEEQhAApyARBEARBEAQhQAoyQRAEQRAEQQh4a+KiS5cuxb59+9C7d29cfvnlpr8XFBRgyZIlOHHiBNq1a4epU6fWQC8JgiDqLySHCYIg7Im5BXnTpk0IBoO4//77cfDgQezfv9/U5rPPPsPAgQOxaNEiFBcX49dff411NwmCIOotJIcJgiCcibkFefv27ejfvz8AoGfPntixYweaN2+ua5OSkoLff/8dhYWFOHLkCDIyMkznWbNmDdasWQMAWLRoETIzMyPqh8/nA2Ms4s/VNF6vl/ocA+pin4G62W/qc+ypKjkMVE4W11U5DNTNMUB9jg3U59hRnf2OuYJcWlqK9PR0AEBycjJ2795tatO5c2ds2bIF77//PrKzs5GcnGxqk5ubi9zcXPX3vLy8iPoRCATg8/ki/lxNk5mZSX2OAXWxz0Dd7HdD6XOLFi2qqTeRU1VyGKicLK6rchhoOOO2pqE+x4a62GegemVxzF0s4uPjUVZWBgAoKSlBMBg0tXn99ddx/fXXY/To0cjOzsann34a414SBEHUX0gOEwRBOBNzBbldu3bYsWMHAGDv3r1o0qSJqU1hYSF+++03BINB7Ny5M9ZdJAiCqNeQHCYIgnAm5gpy3759sX79erz00kv48ssv0bJlS6xYsULXZuTIkXjmmWcwefJkFBQUYODAgbHuJkEQRL2F5DBBEIQzMfdBTkxMxPz58/Hdd9/hsssuQ2pqKnJycnRtTjnlFCxevDjWXSMIgmgQkBwmCIJwpkbyICcnJ2PAgAE1cWmCIAgCJIcJgiCcoEp6BEEQBEEQBCFACjJBEARBEARBCJCCTBAEQRAEQRACpCATBEEQBEEQhAApyARBEARBEAQhQAoyQRAEQRAEQQiQgkwQBEEQBEEQAqQgEwRBEARBEIQAKcgEQRAEQRAEIUAKMkEQBEEQBEEIkIJMEARBEARBEAKkIBMEQRAEQRCEACnIBEEQBEEQBCFACjJBEARBEARBCJCCTBAEQRAEQRACNaIgL126FH/5y1+wcuVKx3bPPvssvv766xj1iiAIouFAcpggCMKemCvImzZtQjAYxP3334+DBw9i//79lu1+/PFHHD9+HH369IlxDwmCIOo3JIcJgiCc8cb6gtu3b0f//v0BAD179sSOHTvQvHlzXZvy8nIsX74cvXr1wubN/8/enYdHUaV9H/929oRAIEQIIWxBIiACIqigo6IRXECUfRCCMkpg1MdtdFwHdB4GRMUFBAOODsEFUSOjzCgalxkUXx4UEEECCAgGAsgSYghZu98/miSdpDupDt3V3cnvc11c0OlD1V3VVXfuPnXq1HoGDBhQazlZWVlkZWUBMGfOHOLi4tyKIzQ0FIvF4vb/87WQkBDFbIJAjBkCM27FbD5P5WE4s1wcqHkYAvMYUMzmUMzm8WbcphfIxcXFxMbGAhAdHc2ePXtqtfnvf/9LYmIiI0aM4KOPPuLIkSNce+211dqkpKSQkpJS+frIkSNuxVFaWkpoaKjb/8/X4uLiFLMJAjFmCMy4m0rMCQkJXorGfZ7Kw3BmuThQ8zA0nePW1xSzOQIxZvBuLjZ9iEVERAQlJSUAFBUVYbVaa7XZs2cPKSkptGzZkt/97nds3brV7DBFRBot5WERkbqZXiAnJSWRnZ0NwN69e2nTpk2tNvHx8Rw6dAiA3bt3B2S3v4iIv1IeFhGpm+kF8oABA1izZg1Lly7lm2++ITExkeXLl1drc+WVV7J161ZmzJjB6tWrueGGG8wOU0Sk0VIeFhGpm+ljkKOiopgxYwabN29mxIgRtGzZks6dO1drExkZyX333Wd2aCIiTYLysIhI3UwvkMF+U8igQYN8sWoREUF5WESkLnqSnoiIiIiIAxXIIiIiIiIOVCCLiIiIiDhQgSwiIiIi4kAFsoiIiIiIAxXIIiIiIiIOVCCLiIiIiDhQgSwiIiIi4kAFsoiIiIiIAxXIIiIiIiIOVCCLiIiIiDhQgSwiIiIi4kAFsoiIiIiIAxXIIiIiIiIOVCCLiIiIiDjwSYG8aNEiHn30Ud5777062+Xl5fHggw+aFJWISNOhPCwi4prpBfK6deuwWq3MmjWLQ4cOkZub67LtsmXLKCkpMTE6EZHGT3lYRKRuIWavcOvWrQwcOBCAPn36kJ2dTbt27Wq127JlC+Hh4bRs2dLpcrKyssjKygJgzpw5xMXFuRVHaGgoFovF7f/nayEhIYrZBIEYMwRm3IrZfJ7Kw3BmuThQ8zAE5jGgmM2hmM3jzbhNL5CLi4uJjY0FIDo6mj179tRqU1ZWxnvvvcef/vQnnn76aafLSUlJISUlpfL1kSNH3IqjtLSU0NBQt/+fr8XFxSlmEwRizBCYcTeVmBMSErwUjfs8lYfhzHJxoOZhaDrHra8pZnMEYszg3Vxs+hCLiIiIyst1RUVFWK3WWm1WrlzJkCFDaNasmdnhiYg0esrDIiJ1M71ATkpKIjs7G4C9e/fSpk2bWm1++OEHVq9ezcyZM/n55595+eWXzQ5TRKTRUh4WEamb6UMsBgwYwIwZMzh+/DibNm3i7rvvZvny5YwfP76yzRNPPFH575kzZzJt2jSzwxQRabSUh0VE6mZ6gRwVFcWMGTPYvHkzI0aMoGXLlnTu3Nll+5kzZ5oWm4hIU6A8LCJSN9MLZLDfFDJo0CBfrFpERFAeFhGpi56kJyIiIiLiQAWyiIiIiIgDFcgiIiIiIg5UIIuIiIiIOFCBLCIiIiLiQAWyiIiIiIgDFcgiIiIiIg5UIIuIiIiIOFCBLCIiIiLiQAWyiIiIiIgDFcgiIiIiIg5UIIuIiIiIOFCBLCIiIiLiQAWyiIiIiIgDFcgiIiIiIg5CfLHSRYsWkZOTQ79+/Rg1alSt9wsLC3n++eexWq2Eh4dz7733EhLik1BFRBol5WEREddM70Fet24dVquVWbNmcejQIXJzc2u1WbNmDcOGDeOxxx6jZcuWbNq0yewwRUQaLeVhEZG6md4dsHXrVgYOHAhAnz59yM7Opl27dtXaDB06tPLf+fn5tGjRwtQYRUQaM0/m4aysLLKysgCYM2cOcXFxhuMIDQ3FYrG49X/8RUhISMDFrZjNoZjN4824TS+Qi4uLiY2NBSA6Opo9e/a4bLtjxw5OnjxJcnJyrffOJClD4CbmQDyIFbN5AjFuxWw+T+VhgJSUFFJSUipfHzlyxHAcpaWlhIaGuvV//EVcXFzAxa2YzaGYzdOQuBMSEgy1M71AjoiIoKSkBICioiKsVqvTdgUFBbz66qvcf//9Tt8/k6QMgZuYA/EgVszmCcS4m0rMRpOyGTyVh0VEGivTxyAnJSWRnZ0NwN69e2nTpk2tNmVlZcybN48JEyZw1llnmR2iiEijpjwsIlI30wvkAQMGsGbNGpYuXco333xDYmIiy5cvr9bm888/Z8+ePWRmZjJz5kzWrl1rdpgiIo2W8rCISN1MH2IRFRXFjBkz2Lx5MyNGjKBly5Z07ty5WpshQ4YwZMgQs0MTEWkSlIdFROrmk0kto6OjGTRokC9WLSIiKA+LiNRFT9ITEREREXGgAllERERExIEKZBERERERByqQRUREREQcqEAWEREREXHgk1ksRERERJoam7UcftiA7ZddWDp0hfP6YQkK9nVY4oQKZBERETFNUy0SbdZyrM/NgD07oKQYW1g4dEkm6N4nmsT2BxoVyNJkNNWkLCLiL5p0kfjDBvt2FxfZXxcX2V//sAH6DPBtbFKLCmRpEpp0Uj5NXxBExOcacZFYkWMLjh7E1jq+Vo61/bILSoqr/6eSYmy/7MYS4NveGKlAlqahESdlMJCY9QVBRPxAYy0SHXPsyZJicJJjLR262nNvxe8hgLBwLB2SfBS11EUFstTiqZ7G+oo2M/lrUjayr+trYyQxN/YvCCKNUWPMxf5YJHoiDxvKsef1gy7JnNq2mXAgKCICuiTbf+6LmKVOKpADhFkJzlM9jYaKNhP5a1Kub18b+jwMJGazvyAoMUtjpVx8hjxYJHqCp/KwkRxrCQom6N4nePHmMXQOtvH7ux5o0PHjsd8dAcyM81AFcgAwNcF5qqfR33os/SwpA8b2kYeKX09+QXCnR7uxJWZ/6okT8ykXnzlPFYke46E8bDTHWoKC2VAaxIZSmNDQ/e+hmAOVWeehHhQSCBwPdJut+oHuYXUVW75YjqdUJuWTIbxTFEzQ7Q/4vGAzso+MtLF06GpPEI5qJuaKLwg2sNqA8IZ9QahITNYlT2P74C2sS57G+twMe+FYwcTj1Z24bd+vx7pqObbv11eP141lVGz7yeWvON92adyaeC72xHkEVUViZlEwlj4DGkUe9lSONTVmk3nq+DHrPFQPcgAwenncE5e1PdXTaGaPpeGYPPHN3YOM7CND+9FA77jHem38cDhHfTzWo92Ie2TEmMaci/3typCnrtbUt12eysOOOTYp1MI4L/aMe+x3h4k8efyY9TtGBXIdbGVlsPcn1+9brbA7Gw4dgLYJkNQdS5CLTnmbreGBhIRBSCiUljj8LBRCQrH9tK0yFtuKV+DAL1Bagi00DBI6YBl7m+uYnIUZGQXx7Tm15yfCLRAUFg7x7e0/P70uJ//LyXIiXSwnEn76saqd1Qq7tzvsw3OqxWvfrr872a4/uLVdlcs7ddL+t0MMjptQEc+JE8ewxsTWiseTbBGR0LY9p3522Edt29t/vvNHw20ALMPG88LXG0gKD2bcqHGQdA7s2m7fLIdj77sTp/gO+H1kFPyU7eSTqyfmjd9UT7gAxUXYNv0/iIyyvw4OcX68Bgdj27G1allWK+xx2Ndd6trXDT9/bLuyYVd2VTzFRbArG9vq96Frd+PLcbbtfnCjZ0MtWrSInJwc+vXrx6hRoxrcxiy27T+4fs9qtf/iPXwA2iRAl2TvnLdBwc6P7aCgyvhsViu2d1+D3JyqnNUuEcvoW93LxWFh0DaBUz/vcjj3E+w/r2NfNGQ5RmJ2eR59nFntPDL6WdgKC+x/O9kWx3hOlpZAQ/ehke0ysn/c+Cy+O1HI9yEhjIuIgJ0/Os1cdW27kX3oyZgr1lWVh71z7hg9fgxxdh56ofj3SYEcOInZBmWlzt+pceJVnMC4eQIb0qkrtEusfqC3S7T/vLzM3mZXdmURCdj/PvCLvRh14+CzAIy6hRcefYjOoRZ+P3mc/YSxWaHc2qDlJIUHM25kxXJsUG6/rGJoH7rcrm0NSsqVxWJ57Us7jvEUneFnaiQeC8BoJ/saG5y+9GSkTUW7DUVWNpcFMT4pGWq87xBZRYANi7tNO/t+cUxMoWFwVnzVMjt3c368du5W2caT+7peh/ZXjxfsrw8dsH+RMMrZtgfoFE3r1q3DarUya9YsFi5cSG5uLu3atXO7jTN3vLfTcBxHek/EYrEY+z+FZU5/bLFZ+eMPGXTK30+YtYSSoDD2tmjPwvNSsVk8eyxZbEn8sVl7Opz4hQhbmX1dzdqz8EgStqP2+M49up3JOTlEWKtyVlFODktXb2NrazeON8DSaRLRBWvoWnqM0o49+TG2G7ZvrYDxXOy4nLPLjlPSoUet5RiJeejeHK4tLak2LtNaWsK/N+znk6Nnn94/xj+LoxfeDsCd/1f7c/XUPjS6HCP72ehncfTC27FYLE63y8i2G92HnojZcV3lZ3juWGxWeh7bSWJBLjnR7ezrcliGkePH+LpqnIfBYext1oGFO1tg+6n+XPL+XQmG1mN6geytxOxOUgaDidlmhVPOD3KPJsF6DiyoP8F58uAD2Nr7NgDWHk2Co+4nZMflWCwWvjrapdZyAjUp1/d5ufsL28i+NtLGjMRspECA+hOzmefPuXltmRwUVrUuoCgojKV5bdjqsB/q/1zNScpm2Lp1KwMHDgSgT58+ZGdn18qxRtoAZGVlkZWVBcCcOXMIDQ01HEffvn2xWCzY6rnC9v3334O1nPOSu9V6r+eRbDr9tr/y842wkYLfDwAAIABJREFUltDpt/30OrGbH+Oqdw78sMP+OTlbDtiPgcjNX3J26THKOvdiW+vkWuds+vlT6HF0B+0Lctkf3Y5trZMJcmjTofAQYdbqX8jCrCV0KDxMdttz3YoHoLDvVVT097kqWQwv5/S+rrkcIzEfiEmkJDiMiPKqdiXBYeTGtCc4xF5KuPNZ9D4n2WWsRvdhfZ+XO5+Fkf1spE3vc5LrPabr2nZ39uGZxuypc8diszJt01IS8/ZV5sZ9LRJ5ue+tlZ+HkePH6Pqg6jxMLDnG/hbtyW7TkxAPfyE2vUD2VGI+k6QM9Sdmi81K+LqPObv4yBmfeGd6YFWoK8G5c/AZSaZ1ncDuLsfVfg7EpGzk83InnvpicreNGYm5skD4LZf9zWsXCBXqSsxmnj/b2/Rg34FEOubnEFZeUtlme5seBFcW/sbOQ/u27ySx5KjXkrIZiouLiY2NBSA6Opo9e/Y0qA1ASkoKKSkpla+fv6GzW7HExcVx5MgRl+/brOXMfus+OluLGD/g1tqXm785gK28+rEUUV7C1Oa5WPpVP99GL1sMwAvjn3ayHvtVjVO/nr7ysW2ri8v6QUB3YmIu4sSJE7WXE5OALaf6lYag0DCu79uOYV2rt60rHncYXU5MTIsGx2yzJmPLS6x2xS+iXSJTU5KpOAXc+SzqYiye+j8vdz4LT3K1n43w1D709LrqPHd27cBWkAO2ssplJBfk8FzLHVhOX+k1cvxULs9qZfY7S+gSanF6ztvZz8OzLhlcZ/44E6YXyJ5KzGealMF1Yq4YTH7q8GbCsZ3xiXemB5YjlwnO4MFn7MAzpkkmZSOJwMQEV5M5idmemOx/Gsbc8ycI2/m3nh46kktkm3ac0yWZ5x2LLMPnYRBYenDWoMu9lpTNEBERQUmJfd8XFRVhtda+ImGkjbdV5OL/aVZGOMHYVr1deyhOmwTnw37atKuxLCv9Iix0CbXYx0PWzH17dkBuDpFBFvvr0hJ73tmzw70xkl2S7THWHDrWpfqX03rjMZOBmC1BQTC66jyiTTsnQ7CMfRaeiMfQ52Xws/ArntqHZq7r8AHnw9gO51Z+FoaOH6q++NzdKoRwC87PeZOYXiAHRGI+fbd6pAXAYv+gD+6H307AuadnBkjoBFs22G/iKymBsDDodDb8bijUuMmsX3QEXUJs2E4chx59q3/IWzdCaY1xzqWl9gHsiV1qhRbSOhaOHqv1cwvAPU/Ctk2wfy+071RrXTarFdui2dwdG0o4YPvXCnvM0x9u2M1R4RH2vxM7u24DhMS2hmNHa7+R0NH5Prz06sp9aAG4eyZs+95hu/pUj7dHX1j/VfW7WsPCoUcfe3uj2nWoiqcimdaIh60bnH9eRaeq1uWpeBogJNb58WFIdxdxd+9t/6w8KT4RtnwHe3c57OuucElKtfPHHsPp48xZDFtcfR6F1dpboO7j1OByHJYW0JKSksjOziY5OZm9e/eSkFB7+IeRNl7nLBcfOoClpKTqxshuPbFt+77y7viKOVEt14ys9tAE23MzqnLfv9+xt3F8sMLOrbXvOSkrBasVyznn1QotLC4Oi5MvSRbA9uizp2dO2G0fo+5kRoj64jHKZi3ngpgoOgfboKiozpkTziTminb06OM6GAOfhRGO8UQeO8ip2NqzWBj5vIxul6e52s+GeGgfenpdlqho+99OzgWKirB9+3X1m5jDI7CcP7Ba+3qPH4Dv12M7dKD6F5+a57xJTC+QAyExO51C5PS3IcuFpw8SwPan/zWWBFtY7UkwY0HtJNi1B7bwGlOxhIdjSeqOpVl0rdiColtgKSqp9fOKmLjwMtcb9v16bPt2nf5lg30b9+3Csnu72weezVrOBRFB9qT8U3adSSeoeQssxbVjNrIPK7frostdBzPgUmxffVr7JB9wqftJ+XQ8rpIyXXtiC/9X7c+raw8s0S08Gk9DBLVoiaXE9RjkOl14KbavncR94e88Hrd9X8+qe19z+jiLPH2c7d5Ru83Zrj6PnliaxxgPyFPLCRADBgxgxowZHD9+nE2bNnH33XezfPlyxo8f77LNrFmzTI/TnaeT1ZlHqhXanNGDHoywBAVDnwGu86qBeIyo3sMO1iVPN3jqrHpjNriMej8LN+OJjoujyFlR78aDOc50u8zkyX3ozrrqy8P9Qq10DrZh+3597Tanpxqt+bujQY/Q9qNpQoNnzpw508wVtmnThqVLl5Kbm8u3337LkCFD+Pjjj+nVq5fLNhMnTqx3jPFvv/3mdixRUVEUFhbWfuPUKWzfr6uaIQIgPIKgwcOwxLev/JHFEoQlvj2W5F72v2sOpNn8HbbPPiS0vAyLBfvyfjuBJTGpajlt4rFl/2DvnbaWV04ubhkxofby6orZANu3a+DHTdV/aC23Dx9J7uX8PzlbzumkfMGJXHqH2GDz/2HL/gHLxZe7HXO9+9AAiyXIvu7EJGiXaP+cRkxoWFI+HU/LAZdwqkWr2vEY+Lw8GY+7zuT4MDvu+va1oePMzfPHJRPOw+bNm7vV3ptCQ0MZNGgQZWVljBkzhvj4+Go52Fkbo/G7m4vr3JceysWGcl8A5mJDv2M8FLNRnsjpjlzG7Klz3wvOdD97eh8aWdeZ5GGP/u4weM5X8GYuNr0HOSoqihkzZrB582ZGjBhBy5Yt6dy5c51toqKizA3SQ9+GPNb74SEe6yHxUO+HJ5nVS2D08wq0XosKfhW3kV4/D50/Zp6H/iI6OppBgwadcRuv8lAududBD4GUi/2pt81sTfGc9QmDv+899rvDg73RZ8on8yD7e2L22C9df7sEZGLh35j5VRHZiBk9zjz1eehz9T8eK4IM5r5Ay8X+9rQ0s+mc9T6zf9/70xcfPUnPBY+ceH70TQjML/xFzoSOMwH/GxvrCWYX/iIN5Ys87C9ffFQge5G/JeWKmBpb4S+NlI4z8SB/+aVboTEW/tIINeE8rALZy/wtKXuCkrKYQceZSP0a4+8Y8R9NOQ+rQJYGUVIWM+g4ExHxraaahwPvGakiIiIiIl5ksdlsdTwqTURERESkaWnSPcgPPfSQr0Nwm2I2RyDGDIEZt2Ju2gJ1XwZi3IrZHIrZPN6Mu0kXyCIiIiIiNalAFhERERFxEDxz5syZvg7Cl5KSAu+hA4rZHIEYMwRm3Iq5aQvUfRmIcStmcyhm83grbt2kJyIiIiLiQEMsREREREQcqEAWEREREXGgJ+kFiPLycu68807atm0LwJQpU+jYsaOPo2pc8vLymDdvHk8++STHjh3jkUceIT4+HoD77ruPFi1a+DjCwFdYWMjzzz+P1WolPDyce++9l7vuusvvj+uCggJ2795N586ddRw0YcrD5lAu9j7l4vo12THIixYtIicnh379+jFq1Chfh1Ov3bt3s3btWiZOnOjrUAxxTHBlZWU888wznDx5ksGDB3PllVf6OrxaCgoKeOGFF8jPz+epp55i3bp1nDhxgiFDhvg6NJecJbglS5b49XG9evVq2rVrR+/evVmyZAmtWrWiqKjIr4/rgoIC5syZQ79+/fj666+ZMWMGb7zxhl/v50ChPOx9ysXep1xsDrNzcZMcYrFu3TqsViuzZs3i0KFD5Obm+jqkeu3cuZMNGzbw8MMPs2jRIsrLy30dkksFBQW89NJLFBcXA/Dxxx+TlJTEX//6V9atW8epU6d8HGFtQUFB3HvvvURGRgL2/f3ZZ5/x5z//mTfffNPH0Tm3Zs0ahg0bxmOPPUbLli35+uuv/f64Hjp0KL179wYgPz+foKAgvz+u9+3bR2pqKiNHjqRPnz5s2bLF7/dzIFAe9j7lYnMoF5vD7FzcJAvkrVu3MnDgQAD69OlDdna2jyOqX9euXXn88ceZPXs25eXlbNy40dchuVQzwW3dupVBgwYB0KNHD3bt2uXL8JyKiooiKiqq8nXfvn2ZOXMms2fPZufOnezdu9eH0TlXM8GtWbMmYI7rHTt2cPLkSXr37u33x3XPnj1JTk7mxx9/ZNeuXWzatClg9rM/Ux72PuVicygXm8PsXNwkC+Ti4mJiY2MBiI6O5sSJEz6OqH6dOnWiVatWgH3OP3/8RlqhZoILxP19zjnnEBkZSVBQEJ07d/br/V2R4Fq3bh0Q+7mgoIBXX32V6dOnB8xxbbPZWLt2Lc2aNcNisQTEfvZ3gZgXAuV4raBcbC7lYu8zMxc3yQI5IiKCkpISAIqKirBarT6OqH7z58/n559/xmq1sn79ejp16uTrkAyrub8DYdj7rFmzOH78OMXFxWzevNkvb1aA6gkuEI7rsrIy5s2bx4QJEzjrrLMC5ri2WCzcdtttdOzYkR07dvj9fg4EgXC81hQox6srysXeo1xsDjNzcZOcxSIpKYns7GySk5PZu3cvCQkJvg6pXqNHj+bFF1/EZrPRv3//yss5gaBif1988cX8/PPPXH311b4OqV6jR4/miSeeICQkhKuvvtovj5GaCS4QjuvPP/+cPXv2kJmZSWZmJueeey4LFizw6+N65cqVtGrVissvv5zCwkJGjBjh9/s5EATC8VpTIOdhUC72FuVic5idi5vkLBaFhYXMmDGDXr16sWnTJmbNmlXtMpR4xsyZM5k5cya//vors2fP5rzzzmPHjh3MmjWLoKAmefHCoz755BPeeuutym/6V1xxBf/61790XHtYQUEBzz33HGVlZXTo0IEJEyYof3iA8rB5lIu9S7nYHGbn4iZZIIN9R2/evJmePXvSsmVLX4fT6B07dozs7Gz69u2rROFFOq7Nof3sGdqP5lMuNoeObXN4cz832QJZRERERMQZXVsREREREXGgAllERERExIEKZBERERERByqQRUREREQcqEAWEREREXGgAllERERExIEKZBERERERByqQRUREREQcqEAWEREREXGgAllERERExEGIrwMQCRRJSUnk5eURFhZWZ7tTp05x4YUX8umnn5oUmYhI06FcLGZQD7I0Ot9++y39+/cnIiKCPn368PXXX1e+9+uvv3LjjTcSFRVFhw4dWLx4seHlhoWFkZmZycGDBzl48CAPPvggaWlpla8r/rzwwguEh4d7Y9NERALCl19+icViwWKxEBwcTLdu3fj73/9e+X7FexaLhYSEBO677z6Ki4sNLVu5WMygAlkalfz8fK677jr69u3Ljz/+yO9+9zuGDx9OXl4eABMnTiQnJ4cNGzbw5JNPMn36dP7zn/8YWrZjb8X27dt57LHHeP7554mPjyc+Pp6LL76Y8vJyAEJCdHFGRJq24OBgjh8/zoEDB5g7dy533nkna9asqXz/o48+4ujRo2RmZvLvf/+buXPnGlqucrGYQQWyNCqrVq0iPz+f+fPnk5SUxDPPPENRURGrVq1i//79fPLJJzz99NN0796dW2+9lcsvv5xly5YZWnZQkP10OXz4MCNGjKB9+/bs3r2b7du3ExUVxcyZMwkODvbm5omIBJSWLVvStm1bbrrpJoYOHcqqVasq34uOjiY2NpaLL76YadOmVXuvLsrFYgZ9tZJG5fvvvyc5OZnIyEgAIiIiOPvss/nhhx9o3bo1AH369Kls36tXL9atW+fWOp599lnGjh1LTEwMl112GS1atGD69Olcc801ntsQEZFGJjQ0lNLSUrffc0W5WLxJPcjSqBw7doyYmJhqP4uJieH48eMcO3as8nXN99wxZ84cHnjgAUpLSzl06BDbtm3jxIkT/PLLL2e+ASIijdDGjRvJysoiJSWl1nsHDx4kIyPD6Xt1US4Wb1KBLI2a1Wpt0HuulJeXM27cODp06MCOHTt48skn+eabbzhw4ADnnHMOF110UeXYNxGRpqy8vJyWLVsSFRXFoEGDuOeee7juuusq37/22mtp0aIF7du3p0OHDjz++ONuLVu5WLxJQyykUYmLi6vsEV6zZg0ffvghx44dIzY2lri4OIDK96dMmUJiYiKxsbGGlx8cHMx9993HokWLCAsLY+TIkTz88MM88MAD5ObmsnfvXjZs2OD5DRMRCTDBwcFs2rSJ4OBgEhISao0Lfu211xgwYABt27YlIiLC7WUrF4s3qUCWRqVv377MmzePkydPEhoayoIFCygvL6d379706dMHi8XCxo0bGThwIGvXrqWsrIyxY8e6tY6LL74YgMcff5yHH36Y6Ohojhw5QkxMDL1791ZSFhE5rXPnzi7fi4+Pp1OnTg1etnKxeJOGWEijMmzYMGJjY7njjjtISEigS5cutGjRghtuuIH4+Hiuv/56HnzwQXJycrjxxhs5ceIEU6ZMMbTssrKyyn8XFhZSVFTElClTGDFiBJs2barWVpf2RES8Q7lYzKACWRqVZs2asWrVKrZs2UK3bt2wWq2cOHGi8u7o1157jU6dOnH++eeTlZVFdHQ0R48eNbRsxzuso6KiePrpp9mzZw//+Mc/OOecc1y2FRERz1EuFjNYbDabzddBiHjTqlWrGDZsmNP3Pv74Y66++mpDc2Z27dqVX375pXIOTlfKy8u57LLL+OyzzxoUr4iIuKZcLGZQgSxiUE5ODnFxcW7fTCIiIp6jXCxmUIEsIiIiIuJAY5BFRERERByoQBYRERERcaACWURERETEQaN5UMiBAwfqbRMXF8eRI0dMiMbzAjV2xW2+QI09UOMGY7EnJCSYFI1vGcnF/iSQjztXtE2BQdvkG0ZzsXqQRUREREQcqEAWEfGQzMxILrywDYmJ7bjwwjZkZkb6OiQRkUbHjFzbaIZYiIj4UmZmJA8+GMOpU/Z+h/37Q3jwwRgARo485cvQREQaDbNyrXqQRUQ8YM6c5pUJu8KpU0HMmdPcRxGJiDQ+ZuVaFcgiIh5w4IDzx5W7+rmIiLjPrFyrAllExAMSEsrd+rmIiLjPrFyrAllExAMeeug3IiOt1X4WGWnloYd+81FEIiKNj1m5VjfpiYh4QMXNIXPmNOfAgWASEsp56KHfdIOeiIgHmZVrVSCLiHjIyJGnVBCLiHiZGblWQyxEROqh+Y1FRLzHH3OsepBFROqg+Y1FRLzHX3OsepBFROqg+Y1FRLzHX3OsCmQRkTpofmMREe/x1xyrAllEpA6a31hExHv8NceqQBYRqYPmNxYR8R5/zbG6SU9EpA6a31hExHv8NceqQBYRqYfmNxYR8R5/zLEaYiEiIiIi4kAFsoiIiIiIAxXIIiKn+ePTnEREGotAyrGmjkEuLy/nzjvvpG3btgBMmTKFjh071mq3YsUKNm7cSNeuXbntttvMDFFEmih/fZqTNygXi4jZAi3HmtqDvHfvXi655BJmzpzJzJkznSbk3bt3k52dzd/+9jdiYmLYvHmzmSGKSBPlr09z8gblYhExmydzbMiWLcQ8/DBBhw97KrxaDBfIh08HkZOTw9q1aykuLnZ7ZTt37mTDhg08/PDDLFq0iPLy2pNA//jjj1x00UVYLBb69OlDdna22+sREXGXvz7NyRuUi0XEbGeaYy2FhUQuX07csGG0GTqUqBUrCN20yZMhVmNoiMXLL79McHAwo0aN4oknniAxMZGvvvqKBx980K2Vde3alccff5xWrVqxYMECNm7cSP/+/au1KSoqqrzsFx0dTV5entNlZWVlkZWVBcCcOXOIi4urd/0hISGG2vmjQI1dcZsvUGP3ddwdOsC+fc5/Xl9cISEhxMXGYlmzhqDXX8d6/fXYbrzRS5GeOV/nYn/i6+POG7RNgaGpbVNDc6xlyxaCliwh6M03seTnY+venbJnn8V68800b9UKb13jM1Qgf/fddyxevJisrCyuueYaRo4cydSpU91eWadOnQgNDQUgKSmJ3NzcWm0iIiIoKSkB7AnaZrM5XVZKSgopKSmVr48cOVLv+uPi4gy180eBGrviNl+gxm5G3JmZkZWT0cfEWLFYIC8viISEcq666iTvvBNV7RJgZKSVBx44wZEjrsfHBe/aRdy//03QsmWE7N+PNTqawq5dOVljWxISEry2Xe7ydS72J4F6vtRF2xQYGuM2ffppGx59NKjygR9XXVXEZ59FVObc0NAgSkstle1d5thTp4hctYpmr79O6LffYgsP59T111M4cSIlF14IFguUl0MD9p/RXGxoiEVERAQbN25k7dq1nHfeeRw9epTw8HC3g5o/fz4///wzVquV9evX06lTp1ptkpKSKi/l7d27l7POOsvt9YiI1FRxg8j+/SHYbBby8oI5fjwYm83C/v0hvPNOFGPGFNK+fRkWi4327cuYO/eE05tHLMePE7V0KXHDh9P2sssImjuXsuRkjr/0Eoc2beKkn9/QplwsIp6WmRnJH/8YXJlj9+8PISOjWbWcCzZatSp3mWNDdu6kxV/+Qnz//rS65x6Cjh3jxF/+wsFvvyVv/nxKLrrIXhybwFAPcmpqKm+99Rbdu3cnOTmZ+++/n5tvvtntlY0ePZoXX3wRm81G//79SUpK4uWXX2batGmVbbp3785bb73Fa6+9xqZNm3j00UfdXo+ISE3ObhBxdOpUEJ99FsH//Z+Lmz5KSwn/4gui3nmHiKwsLCUllHbvzonHHyfyD3/g2Oke2UCgXCwinjZnTnMKC2sWr9Vfl5YGERVVxpYtDletiouJ/Pe/iVq2jPB167CFhlJ07bWcnDiRkkGDTCuIa7LYXF0386GSkhI2bNhAly5dKsfA1efAgQP1tgnkyxmBGrviNl+gxu7tuBMT22Gz1Z1oLRYbOTkOidtmI/SHH4h8910i33+f4GPHKG/dmlM33UThmDGUnXsuWCyGYvenIRZGeSsX+5NAPV/qom0KDI1tm4zkWKjKs8G7dtHsjTeIXLGC4OPHKevcmcKbb6Zw7FisXhybbTQXG54Hef369eTk5HDdddfx+eefM2TIEIKDvXN3d1hYGBdffLFXli0iTUvFuGMjXQEJCfbZHIJyc4l6/30i332X0O3bsYWFUTRkCIWjR1N8xRXgo97i/Px8tm/fzoABA/jyyy/ZuXMn1157LYmJiV5Zn3KxiNTHnRwbSglTWr5H6zELCF+7FltICEVDhnBy0iRKLr0Ugvzn+XWGCuTFixdz+PBh9uzZw/Dhw9m2bRu7d+/mjjvu8HZ8IiJuq0jY+/cHY7FgqFejdcRvvHrVW8ROeJPwNWuwWK2U9O9P3pw5nBo+HFvLliZEXrdnn32WgQMH8vPPP7Ny5UoGDRrE/Pnzeeqpp3wdmog0MZmZkTz+eAvy8oKoOZSiig2w0IXdTGUxt/IabY8fpuyXDuT/+c8Ujh+PtU0bE6M2zlCBvH79ehYuXMgdd9xBSEgI99xzD9OnT/d2bCIibqv5tCbnvRo2Wra0EoSV3nlfkRa1lJHl7xGWUUBZhw4U/M//UDhqFOVJSabGXp/c3FyuueYaVq5cyXXXXceQIUP49NNPfR2WiDQxNfNsbTY6JRRxf7dMev+/f3B5cRZlBLPvvKEc/fMEii+7DLw0CsFTDBXIsbGx5ObmYjk9UHrHjh3ExMR4NTAREaMce4zt6u4xTmYH305eROR77xGSl4M1KJpTNwwjf8wY+xRCfnSZz1Hr1q15/fXXWb9+PQ8//DBr166ldevWvg5LRJoAo3m2I3uZymIeKnuF4P8cprxdO/Jv/hOF48cT0a4d7j9mzjcMFci33347zz77LPn5+dx3330UFxdz7733ejs2ERGXql/eg/qK4lYcYywrSCWDQXyDbX4QxZddxm8PP0zR0KHYIiO9H/QZuuuuu1i9ejXjxo0jPj6elStX8sc//tHXYYlII2U0zwZTxvX8izTSuYaPsWGh9LzB5E2aRPGVV/p9b7Ezhgrks88+m2effbby7uSEhARCQgzf3yci4lGZmZHcd18MpaV19/SGUMo1fMxkljKcDwmnhC2WXnw94gm6Pj4Ma3y8SRF7RkJCArfeemvla8dp2UREPMlInm1PDrfxCrfxConsZz8JPBXyKO0eH8uQ2wL76pbhKjckJISOHTt6MxYRkWpq9144cn1TyPlsZDJL+T1v0YZfOcxZLGQ6H591M8Mf78rIUUVYvRm4l+Tn55OZmUlubi533303Cxcu5JZbbml0j6sVEfO4m2eDKOcaPiaNdK7nX1iwsZqh3Ml8vokdxuNPFDDEyQOWAo26gUXE71TdAGKhvqETFdpxgJt5g8kspRdbKSaMD7iB14NSGTrvIsaNKWMcAEVejNy7XnjhBc455xx2795NZGQk5557LvPnz+eJJ57wdWgiEmDczbPtOMAf+Du38Qqd2MdB2vIUf2YJt/NLcGeefz6PFVNttR8bHaBcFsgLFy6s9z9r7JuIeNrDD7cgI6MZRhJ2JIXcxPukkkEKWQRj5WsGkcbLrGAsxZExzJ17ghsbQW8GwL59+3jsscfIysrCYrFw7bXXsnLlSl+HJSIBxmietWDlaj4ljXRu4ANCKOdTUrifZ/mAGygljMhIK8/PzTv9yOhmpsRvBpcFcs+ePc2MQ0SaoNqX9tqd/tt10rZg5XesYTJLGcM7NKeAn+nELB5lGRPZHdQNqxXaty/nrw+dOJ20G4euXbvy2WefAfbhFllZWXTu3Nm3QYmI33M+jMJ1nm3DIabwKrezhCT28CtxzOM+FjOVXXQlKIjTebaMhx76rVHl2QouC+QrrrjCxDBEpCmpuvnD+BCKs9lJKhlMYhmd2Us+zVnBWDJIZQ2X0rIVPPlkPiNH5ta/sAA1ffp0XnvtNcrLy7nnnnvo3bu35qQXEZfcybUWrAzmC9JI5ybeJ5QyvuAKHuFvvM9NlBBGq1ZW5j+Z1ygL4po0BllETFN1WQ+MFMYtOc443q6cmq2cID7lah7hb6zkRk4RRWiojRfnNY2EHRMTwz333OPrMETEz7lTGMfxK7fwD6aymG78xFFieZH/YTFT2cE5AISG2pjfRPJsBRXIIuJV1W8EgfqSdcXUbKlkcAMf2Kdm41we4Cne4GZySahs26pV+ele46aRtF3djDdjxgwlkjFuAAAgAElEQVSTIxERf2S8E8LGZfyXabzMSDIJp4Q1XMoT/IV3GU0xEZXtWrWyNqk8W0EFsoh4jfEb7uxTs6WSwQTerJyabRHTyWASO6L6MuepfL4deQpovEMo6jNmzBgAbDYbR48eJSsri379+vk4KhHxB+PGxfLVV+HUlW9bcYzJLGUqi+lBNnnE8DLTWMzt7G3WkzlzTjB35HHzgvZjLgvkVatWMWzYMADeffddp21Gjx7tnahEJKAZvbxXMTVbKhmcx5bKqdkySOVjrqGMEFJTT7Jq9iHzgvdjNW+evuSSS5g7dy433nijjyISEV+rv9fYxiDWMo2XGcM7RFDMN1zMLbzGCsZyikhSU0/y6eyDZobt91wWyDabzem/RURcMVIYR1LIjawklQyu5lOCsbKWgUxjIW8zjjxaAZy+rNe0xrzV58iRI7VeHzqkLw8iTVF9hXEMeUxiGWmk04ut5NOcv/MH0pnKD/QGoFkzG/PnKM8647JAHj58eOW/Ky7riYg4U19hXDE1WyoZjOEdWvAbP9OJv/EIGUxil6Ubt99uZeuMQzTlIRT1mTFjBhaLpbLTIioqSlfyRJqYugtjGxexjjTSGcfbRHGK9fTnD7zCcsZRSDNSU0/y8Wzl2fpoDLKINEj1JA3OCuOz2ckkljGJZXThZ34jmncYw1Ims4ZLCQu38MwzJxg5Mpe4uDhqdJBKDS+99JKvQxARH6jeCQE1821z8rmZN5jGy/RhMwU0YxmTSCeNjZwPQGrqSWarMDasQQVyYWEh+/bto3v37p6OR0T8XNWNIOCsKG7JccaygsksrZyaLYsUHmXW6anZImnWzMaLcxrXQzxERDytvnx7Ad+SRjq/5y2iOclG+jKNRbzJBH6jOVBRGOebGHXjYKhAvv/++3n22WcrX4eHh/PMM8/wyiuvuL3CwsJCnn/+eaxWK+Hh4dx7772EhFQPo7y8nDvvvJO2bdsCMGXKFDp27Oj2ukTEc+q6rBdCKUNZXTk1WwTFp6dmm8ubTOAA7e3/y2Jj/osa7+ZrysMi/q9Hj7bk5wdRM982o4Df8xZppNOf7zhJFMsZTzpprGfA6fY2Lr20mLffPuaL0BsFQwXyb7/9Vu318ePHCQ0NbdAK16xZw7Bhw+jduzdLlixh06ZN9O/fv1qbvXv3cskllzBx4sQGrUNEPKPuy3o2+rKJySytNjXby0wjg9TTl/UslW3Dw22nh1OoOHbHHXfcgcXi/IZHm82GxWJhwYIFbi1TeVjEP9U1dK0Pm0gjnZt5gxb8xmbO4w4W8DoTySfmdCsbYFOvsQdYbHVMUfHOO+84neKtefPmTJw48YwfR/3ss88yfPhwkpOTq/189erVrF69mvDwcDp27MjUqVMJDg6u1iYrK4usrCwA5syZQ0lJSb3rCwkJoays7Ixi9pVAjV1xm89TsV9zTQhffFH7prv6p2Zz/PJsIzwc0tPL+f3vrabE7QtGYg8LC2vQsn/99dd625x11lkNWjacWR6GhuVifxLIx50r2qbAUHOb2rYNIS+ves6N4iTjeJs00rmI/+MUEaxgLOmk8Q0DceyEAJg61cr8+eXmbUQNgfA5Gc3FdRbIFaZOncrixYvPOChHO3bsYPny5fzlL3+p9d5PP/1E69atadWqFQsWLODiiy+u1btR04EDB+pdp/0moMC8CyhQY1fc5juT2F31GEdSyAj+yWSWVk7N9g0Xs5TJrGAsx4mtsST3e4wb+z5PSEio831f8HQeBmO52J8E8nHnirYpMFRs0+DBcezYUdGxYM+557KFNNKZxDJacoIf6UE6aSxjUo18ay/h/GU4RSB8TkZzsaEhFpdffvkZBVNTQUEBr776Kvfff7/T9zt16lQ5hCMpKYncXN11KeJNmZmR3HVXDPbkbE/Q9qnZ/lttara9dORvPMIyJrGT5BpLsSfqZs1szNENeH5PeVjEt/r2DWHbtnanX1mI4BRjeIc00rmEtRQTxruMJp001vA7ag5xA92A502GCuQxY8awfv16CgsLq/28IYVzWVkZ8+bNY8KECS4vC86fP5+RI0fSsWNH1q9fz0033eT2ekSkfs7ukO7KT6SSUWtqtgxS+S+XYSPIYQkqis1ktVrZvHkzJ06cqPxZbm4u48ePd2s5ysMivuFsjPE5ZJNGOpNZSizH2U4y9/MMS5nMUeIc2trzrcUCkyapMPY2QwXy3/72NwoLC+nUqVO1m0UaUiB//vnn7Nmzh8zMTDIzMzn33HMpLy+vluBHjx7Niy++iM1mo3///vTu3dvt9YiIc5mZkdx9dwxWa9Uwioqp2VLJ4BLWVk7N9hj/y/vcxCminCxJd0mb7YUXXqCoqIjt27fTv39/tm7dSufOnd1ejvKwiLlqzgIURjGjeI800rmc/1JCKJmMJJ00vuQKnD0ApEULK9u26cmZZjFUIP/yyy8sWbKEoKCg+hvXY8iQIQwZMqTONh07duSZZ54543WJSHUXXNCGgweDAYvTqdm20pMHeYo3uLlyarbq7D0YmpHCN7Kzs0lPT2fBggVcc8013HTTTbz88stuL0d5WMQ8XbvGU1RkH77WjR1MZTG38A/iOMoukvgzc3iNW/mVNk7+t3+NMW5KDI9BzsrKqjehioh/qroJxD41WyoZTOBN2nKYX4kjnTSWMrnG1Gw1qcfY16Kjo9m0aRPdu3dn48aNDB8+nP379/s6LBFxoqJDIpQSxvBP0kjnKj6njGBWciPppPEZV9UYtlbBXhjPn695433FUIG8Z88eVq9ezT//+U/atKn6hjNjxgyvBSYiZ6aqtxjiyeV+3iSVDHrzA8WE8SHDWcpkJ1OzOVKPsT+5/fbb+fLLL0lNTeWRRx5h5cqVHr+JWkQaznFGii7sZjZLuJXXaMthfqYTj/K/vMoUDtLOxRLUY+wvDN+kJyKBoeLO6EgKGc8HpJLBED6pnJptGotcTM3mSHdI+wur1Vo5vK179+50794dgOeee46CggKaN2/uy/BEhKoxxiGUchPvk0Y6Q/mEcoL4kOGkk8YnDMFK7bnE7VQY+xtDBXLPnj0pLi6u9kS9QJvrUqSxGzw4jp07grmUNSxhGWNZUTk122weJoNUJ1Oz1aQk7W9uvfVWzj33XHr16kWvXr0qH/dssVhUHIv4WMVMQB3Zy1+ZwxReJYFcfiGRv/AEf+cPLu7nqGDPucnJpXzxhX/PH9zUGCqQP/jgAz744ANOnjxJ69atOXr0KG3atOGFF17wdnwiUo8LLmhDs4N7mMTLTOJ1kthTz9RsNdkTdEgIPPecxrv5m9mzZ5OdnU12djYfffQRRUVFlcXyeeedV23Ym4iYp1P7OK7lI/5FOtfwMQD/5jrSSOMjrqW8zhJLV+n8naEC+aOPPmLhwoXMmzeP1NRUDhw4wNq1a70dm4g4UTG2OIY8xrKCd09PzWbFQhYpPM5fWcmNFNKsniWptzgQJCQkkJCQwJVXXgnA8ePH2bZtG1988QWLFy8mLi6Ol156ycdRijR+FbNRtCeH23iFPfydRPZzgHbM4lFe4Tb20amepVQVxkuWhHHkiIpjf2WoQLZYLBQWFtKjRw+ys7O54oorGjS1kIi4z/FmuxBKGcLHTHZrajZnbMTHl/Pdd4e9F7h41L59+9i2bVvln6ioKIYOHUqvXr18HZpIo+R4w10Q5QzlI9JYzDBWYcHGJwzhLuazimF13OhcwdlQijjXzcXnDBXIN954I/PmzeOOO+5gxowZfPnll7Rr5+oOTBE5U45FMdjow/ekksHNvFFtarYMUtlAP1xPzUblMipoKEVgmTNnDtu3bycqKopzzz2XCy64gMmTJ9OqVStfhybSKFXNWwzxHOQP/J3bWUIn9nGQtjzFn1nC7fxMFwNLs+dedUgEHkMF8pAhQxg8eDChoaE88cQT7NmzR09VEvEwx94KsCfmm3mj1tRsGaTyEdca6LGooCcwBbL+/ftzyy23EB8f7+tQRBotx04JC1aG8ClppHMDHxBCOVlcxZ94hn8yglLCDCxR8xgHOkMF8n/+859aP1u/fr3m3xQ5Q9V7iiGCIm5kZa2p2aazkLcZV8/UbDXZsFjgxReVoANZSkqKr0MQaZRqdkq04TC38hq3s4Su7OZX4pjHfSzhdn6im8Gl6t6OxsJQgbx161YAbDYbx44d48cff+TCCy9UgSzSADWLYgs2LuFrJrOUMbxDDPmVU7MtYxI7OMfNNagwFhFxpmK+4goWbAzmC9JI50ZWEkYpX3I5j/G/ZDKSEsINLlmFcWNjqED+4x//WO31vn37+OCDD7wSkEhj1alTPGVlFWOFLXTlJyaxjEksq5ya7V1Gk0Eq/+HyeqZmq2Cr9iooCF59tZyrr9ZYNxGRCj16tCU/vyKnWmjNEW7hH0xlMcns5BitWMCdLGYq2+luYInVc6+GsTU+hgrkmjp27MihQzoQRFxxvMnDUQwnGMsKUsngUr6unJrtLzzJ+9xkYGo2cEzMzpJyXFwcRzTfvIg0YdU7JKpcxn9JI51RvEc4JXzFJfyVx3mX0RQRWc9S68690rgYKpCfeOKJaq+PHTtGhw4dvBKQSKCqnZDt/w6mjKGsJpUMRvBPIijmR3rwZ+bwBjezn0QDS7cnZg2dEBFxrnbHhP3frThGKhmkkU4PsskjhnTSWMxUtlLfNIlVRbGGTzQthgrkMWPGVHsdGRlJly5GpjcRafxqXrqr0IdN1aZmO0JrFjOVpUx2e2o2PW1JRMS56uOKK/KqjUF8TRrpjGUFERTzDRdzC6+xgrGcIqqepdrzb0SEjV27DnordPFjdRbIubm5bNiwgUOHDlFSUkJYWBht2rTh/PPP5/Dhw3rEqTRpNccUA8STywTeJJUM+rCZEkL5kOEsZTIfc42B6YHUWyHVvfvuu/W2GT16tAmRiPgXZ4VxDHlMYhlTWcx5bCGf5rzKFNJJYzN96lmiOiWkissC+ZNPPuHtt9+mT58+tG7dmujoaMrKyvjiiy94/fXXiYyM5NFHH+Xss882M14Rn6tZGEdwihH8k1QyGMpqgrHy/7iI6SxkBWM5Rut6lqikLK7ZbFXHxy+//MKuXbsYMGAAQUFBrF+/nsREI0N0RBqX9u3jsRfFFsDGhawjjXTGs5woTrGe/tzGEpYznpNE17GkqvOr+lPupKlzWSC/9957zJ49u1ov8caNG1m3bh0TJ07kww8/VHEsTUbNqdkALuUrUslgLCuIIZ99dGAOD5FBqoGp2dRTLMY4DnF78MEHmTt3Ls2a2XvNRo0axWOPPear0ERMlZgYj81WNTStOb9xM2+QRjp9+Z4CmvE6E0knjQ1cUM/S7DlYN9uJK3UOsbBardVen3/++Zx//vkcOHCADz/80KuBifjSW28FccstFT0UFSwksYtJLCOVDJLYQwHNeJfRLGVyPVOzVZ8SKCTExt69Gtcm7ikoKODXX3+tLJCPHDlCUVGRj6MS8R5nN9714zvSSGcCbxLNSTbSl2ks4k0m8BstnCzFVusn6piQ+rgskMeMGcMjjzxC3759iYuLIzQ0lNLSUg4fPszmzZuZOHFig1e6aNEicnJy6NevH6NGjWpwGxFPq56Mq8a0jeEdJrPUzanZqpKyHjcqnnDbbbcxa9YsWrSwFwF5eXmkpaU1aFnKw+Kvaj7MAyw0o4Df8xZppNOf7ygkkuWM52WmsZ4BOL/puWL2Hxs5OeqQEPe4LJBTUlLo2bNn5U16+fn5hIWF0a1bN8aPH098fHyDVrhu3TqsViuzZs1i4cKF5Obm0q5dO7fbiHhS9Ut3FoIpYwifMJmlDZiazZ6UVRSLp/Xr14+XXnqJAwcOANCuXTvCw40+6auK8rD4I2c33fXme9JIZyKv04Lf+IFe3Ml8XmciJ2jpYkn2HKx7OuRM1DnEIiEhgYSEBI+ucOvWrQwcOBCAPn36kJ2dXSvpGmmTlZVFVlYWAHPmzCEuLq7edYeEhBhq548CNXZ/jfuuu4JZvLjmcAgLvfmeySxlAm8Sz6HKqdkySOU7LqDuqdnsSXnqVCvz55cDzU7/MZe/7vP6BGrcYF7sJSUlZGVlceDAAW6++WbefvttRo8eTVRUfVNWVeepPAwNy8X+JJCPO1cCaZvatg0hL6/6EIpIChnH26SRzsWso4hwVjCWl5nGNwzEdR625+DISBt5eWVAGOC/+yGQPiejGtM2NehJemeiuLiY2NhYAKKjo9mzZ0+D2qSkpJCSklL5+oiBR4fZnzAWmHeoBmrs/hJ3ZmYkd90VQ80xxQBtOcgE3mQyS6tNzZZBKh9xreGp2Rx7jH25yf6yz90VqHGDsdg90dmwYMECIiIi2LBhA7feeisAL774Ig899JBby/FUHoaG5WJ/EsjHnSv+vk2uHqp0LltII51JLKMlJ9hGd+7hOTJI5TixdSzRnoMd7+3w482v5O+fU0MEwjYZzcWmF8gRERGUlJQAUFRUVOtGQKNtROozeHAcO3aEOvykKiG7mprtj7zE24xza2o2DaUQs2zbto309HSmTZtGcHAwqampDRqDrDwsZnP1lLsITjGad0kjnUv5mmLCeJfRpJPGGn6Hkat2GmMs3mB6gZyUlER2djbJycns3bvXaSVvpI2IM66SsJ3N5dRsy5jEdrrXseTqd0HrDmjxhYSEBDZv3ozFYj+uv/rqK9q2bev2cpSHxQx15eNzyCaNdCazlFiOs4Nu/Imn+Qe3cLTOYRHqnBBzuJqTymsGDBjAmjVrWLp0Kd988w2JiYksX768zjb9+vUzO0wJMD16tKV9+3ank7HjH0hiFzOYyS66sobL+D1v8T43cSWf0ZmfeYxZdRTHNsBGSIiN/ftzK/+oOBZfmD59Ou+88w55eXlMmjSJjz76iOnTp7u9HOVh8abBg+Oc5uMwihnPW3zBFWTTgzt4iU+5miv5jHPYzrP8yUVxbKv8k5p6sjIPqzgWb7LYHB/TZJKCggI2b95Mz549adnS+V2oRto4qriruy6BMDbGlUCN3Ztx1zWEomJqtlQy+B1fYcXCZ1zFUibXMzUbBPqT7XSsmM+sMcgVioqKsNlsREZGNngZ3sjDYCwX+5NAPu5c8cU21b7Poyofn81OprKYW/gHZ3GE3XRhMVN5jVs5TF1XQOy5OCLCxokTZfqcAkAgbJPHxyDn5+dz4MABunXrRk5ODp06dWpwcNHR0QwaNOiM20jTM25cLF995TitVVUSrpiaLZUMbmQlERSzje48xGxeZ6KhqdnAPp6tqKjxJWMJfGVlZYSEhBAREXHGy1IeFk+ofsNdVT4OpYQbWUka6VzF55QRzD8ZQTppZJFi6KFKERE2du2qGFvcOGZGkMBhqED+/PPPWbFiBcXFxSxatIhnnnmGa665huuvv97b8YkAzh/gUaE335NKBjfzRuXUbEu4naVMrmNqtuoXTmo/blTJWPxPWloazz//PM2bN/d1KNKE1dVR0YXd3M4SpvAqbTnMXjryGH/lVaaQi6ueu6p8rPs7xF8YKpDffvtt5s6dywMPPEBERARz587l/vvvV4EsXlVXEq6Ymi2VDPryPSWEsophLGVyHVOzueqZEAkMgwcPJisri5tuusnXoUgTdMEFbTh4MPj0q6p8HEIpw/mQNNIZyieUE8QqhpFOGqsZipVgJ0vTzXbi3wwVyGFhYYSEhFTeOV1cXExQkOn390kTUFdRHMEpbuADJrOUIXxCCOWs48J6pmarSsLJyaV88YWGTUjgCgsLY/Xq1WRnZ9OtW7fKn48ePdqHUUlj5uyxzxU6spfbeIU/8HcSyOUXEpnBTP7OH1wMaQvs+zukaTFUII8cOZIZM2Zw6tQpXnnlFTZt2sSoUaO8HZs0IT16tCU/v+JLV/Wp2S7hayaztNrUbE/x53qmZtPjnqXxsVgsXHXVVQD44P5qaUJc9RYHU8a1fMQ0XuZaPgLgI65lGi/zb66j3GlZoUc/S+AxVCAPHjyYbt26sWXLFmw2G0OHDqVDhw7ejk2aAFeFcRd2M4llpJJBV3ZTQDPeZTQZpPIlV7i4wUO9E9K4jRkzxtchSCNX/SpeVU5uTw5/4O/cxit0IIdc4pnFo7zCbezD2U37unongc3wLBaJiYkkJtY1C4BI/WpPzQYVSbgFJxjDO0xmabWp2WYyk/e5iZNEO1mikrA0LevXrycnJ4frr7+ezz77jCFDhhAc7GyMp0j9ak/PRuW/gyhnKKtJI51hrCIYK6sZwt28wIcMp4yaubwqHzs+9lkkEJn+JD1pmuq6XHf1/2/vzuOiqrsHjn9m2MFdRENFxX3JJbVMfUzLMistEUlTwUxBI1+WWS/LJVssy1YUEjBNsFxS0lyen0UmaYtLRCqFK66QhAQICAPM/P6Yh4GBGRgQGC6c9z/qeOfec2c5HL73e8+X7/BjI4+zCydyDa3ZvmAqVzF1paI4CbdpU8hvv6XUbPBC1BFhYWGkpKSQmJjIuHHj+Ouvv7hw4QKBgYHWDk0ojHFhbNzppw3JzGQ9swmnI5e4jhvv8TLhzCYRTxN7kyWfRf1jtkCOiYmp8Mn33XdftQYj6gfjaRMAd/zvz+IkfCcn8GOjUWu2dcwiAl+OM4jyWrPJyIRoqI4dO0ZISAiBgYHY2try/PPPV2klPdHwlHf1Tv83LaOJJoBQxvMNdhTwPffzEqvYxePldgaSq3eiPjJbIMfHx1f4ZCmQRZHyuk8UMdeaLQJf9vFIha3ZJAmLhq5FixYkJycbOgqdOXOGpk2bWjkqUZcZF8Zl83IrUniaDfgTRmcukEpLPuZ5wvDnHF3LbC89i0VDYbZAfvbZZ2szDqFAUVFOzJ/fFK3W9AIeAA7k8ji78CWCMew3tGYLZA1beZIbJhfkkAQshCmzZ8/mgw8+IDMzkwULFpCXl8cLL7xg7bBEHbN5s5oZM9pgatlnPR2j+IEAQpnA19iTTwwjWMJbROGFBgfK0udlmdYmGgqZgywsVrYfJpibCjGMn/AlAh+20YwMrtCO93iZCHwrbM0mi3gIYVqXLl344IMPSEpKAsDd3R1bW0njDV3ZwQowlZtbksoMPsefMLpxljSaE0wgYfiTQE8ze9fnZRmsEA1NpTJrTk4OarUaR0fHmopH1EHGhbGpgljPVGu2HUxkI34WtWYru9yzEKK8+0ESExMBme7WUJV3o10xHf/hEAGE4s12HNBwmGG8yVK2400uTmW2L0kKY9FQWVQgnzt3juDgYG7cuIFOp6N169Y8++yzeHqauptV1BeWFMZFrdl8iWAEh9Ci4gD38zqvEYWXmdZsIAt5CGGZkveDpKWlcfbsWfr06YNKpeLUqVN06tRJCuQGxpLc3Jw0fInAnzB68RfpNCUMf0IJIJ4+Jp4hUyiEKMmiAjk4OJhp06YxcOBAAI4ePcrq1av56KOPajQ4YR3mGsUXKWrN5ksET7CzgtZsZVf7Uqvhk0+kMBbCEiXvB1m6dCnvv/8+rVq1AiA1NZVVq1ZZKzRhBcUtM01PbxvKzwQQyiS+wolcfuUenmY9W3mSWzgbbVuSFMZCGLOoQM7Pz6d///6Gfw8YMIDIyMgaC0pYT+fObcjNNX257k5O4EsEU/mCO/ibG7TgM55hI34mWrPpk6+7u45jx2Q+sRDVISUlBbW6eKqSWq0mPT3dihGJ2mQuPzclnWlsIoBQ7uQUmTTmc2YQSgB/0L/UXuTqnRCWsKhA7ty5M8uXL2fYsGHodDoOHz5M9+7dDXPj5PKeckVFObFgQVPy803f3OHGdZ7iS/zYaGjNtpdH2YifidZsZZd6dnV1JVU6swlRLXx8fHj55Zfp2lXffuvcuXP4+PhYOSpRk8y30NRxN0cJIJTJbMGZWxxnILMJYzNTSk1v0+dmuXonhOUsKpAdHBy44447uHDhAgBt27YFiufGSYGsTMXz2IxHIxzIZTzf4EsED/N/2FLIUQabaM2mQ/oUC1F7HnjgAQYMGMD58+fR6XTMmjULV1dTrRKF0pm7Aa8RN5nKFwQQygDiyMKFTUwjlABiGfi/rSQ3C3G7LCqQ+/TpQ3x8PDqd8ZylyvRKzsnJ4eOPP0ar1eLg4MALL7xgsj1RYWEhzz33HK1btwZg5syZeHh4WHwcUTHjUePi0Yih/IwfG8u0ZotkeqkWQPrPQdEosRCi9rRo0YIWLVpU+fmSi+u+4sU9igvju/iNAEJ5ii9pRDZx9GMuIXzBVG7S5H9b6XNzz546oqNlapsQt8OiAjkyMhJvb28cHIov8xSt5GSpQ4cO8dhjj9G3b1/Cw8OJi4tj0KBBZba7dOkSw4YNY9q0aZXav6iYqTufO5KILxFMJ5IunDe0ZovAl4OMRItNiT1IYSyENc2fP5+3334bF5fS/cgtJ7m47ip9g7QLWUxmCwGEMpjj5ODEFiYTSgBHuZuSAxxQ3JJNprYJcfssKpBHjRrFxYsX6datm9ENIpUxZswYw98zMzNp0qSJye3Onj1LbGws8fHxeHh44O/vj42NjcltRcXKzjFW0YQMvNmOHxuNWrO9wTITrdn0idfWFj76SOauCWFNPXr04OjRo4waNarK+5BcXLeYytF9+YMAQpnGJppwk1P0Zh5BRDKdDJqVeLYMWghRU1S60vMmTAgICKB79+5lFggpb4pFWFiYYbUn0E/T8Pb25syZM2zZsoVly5aZfN65c+do2bIlzZs3Z82aNQwZMsTk6EZ0dDTR0dEArFy5Eo1GU9FpYGtrS0FBQYXb1UVViX3ePBvCwtSAChsKGE00fmw0tGZLoDsb8eMLpnIFU5dOdTg56UhPr/prptTXXKlxg3JjV2rcYFns9vb25f6/Jb799lt27drFgAEDDDfqQfn3gdTFXFyXWPNz9/DDtvzwg36qmxM5+LCNOaxlCEfIxYFt+BBKAD8zFFPLRZvLz0r+Lpkj56QMSjgnS3OxRQVyUFAQd911V5kR5MreHJKVlcVbb43cJooAABzASURBVL3Fiy++aOjjWVp+fj52dnYA7Nu3j8LCQsaNG1fhvkv+ADBHf9lJmdedLInd1FLQfTiFHxuNWrNtZgoR+HKMwZhKukWqYwUlpb7mSo0blBu7UuMGy2J3d3e/7eOEhISYfLwy94OA9XNxXVJbn7uoKCdefrkpt24Z59xe/EkAofgSQTMySKA7a5lDBL78S+m55pblZyV/l8yRc1IGJZyTpbnYoikWp0+f5vTp00aPqVQq1qxZY3FABQUFfPjhhzz11FNmEzLA6tWr8fLywsPDg2PHjjFhwgSLj9EQvfJKEyIjXSj+NUdlaM3mSwQDiDO0ZovAl708Wqo1W0k6udtZiDqssoWwKZKLa5epez8cyMWb7cxhLcP5iTzs2cFEQgngR0ZgbhEQWcxDiNpj8Up6pSUnJ1fqQAcOHCAxMZGoqCiioqJ46KGH8PDw4PDhw0yePNmwnbe3N0FBQeh0OgYNGkTfvn0rdZz6LirKiaVLm5CeXnIuuMpsa7bnWM0WJpdozWaKzGMToi5LSkoiNjaWlJQUNBoNDg4OuLm5MXDgQNq0aVOpfUkurnll87S+4O1OAv6E4cdGWpLGWbqwkFVsxI9UzP2yIvlZCGuwaIrFoUOHiIyMJCMjw/CYk5MTn3/+eU3GVin1eYqFqVFiPX1rNl8ieJKtNCODq7QlkulEMp2/6FXBnms+8Sr1NVdq3KDc2JUaN9TsFIv9+/ezdetW+vfvj6urK7a2tuTn5/PPP/9w8uRJpkyZwujRo6u075rQEKdYmBu4ALAnDy+iCCCUkcSQjy1fM4FQAviBUegwd+O7cWeKylDyd8kcOSdlUMI5VesUiy1btvDuu+8SFBREYGAgsbGxXLt27bYCFOUzNwIB+tZs04nElwi6cJ5snNnBRDbiZ6I1W2n6pOviomPlygzpSiFEHRcVFcXKlStxc3Mr83/Xr19n6dKldapAbmiKW7MZT4vozDn8CeNpNtCKVC7QiUW8wwaeJoXW5exRRoyFqAssKpALCwtxcXGhd+/eJCQkMHr0aObMmcPTTz9d0/E1OMY3chQn3KLWbL5EcB8/okXFD4ziTZayg4mlWrOZo5OkK4QCabVas49Xtie9qB6mFlyyQ8Pj7CKAUEbzPQXY8A3jWcscohldzmgxgE6WghaiDrGoQL7//vt599138fPzY9WqVcTGxprtnSmqxlRhXNSazZcIJvC1oTXbq6xgE9PMtGYrYjxzRkaMhVCmSZMm8eqrrxqmWNjZ2ZGfn09KSgonTpyQhTxqmalc3ZFEZhPOTNbThutcwoMlvMl6ZpKMucu5xjm6OroGCSGqj0UFso+PD6mpqbi6uhIYGMjZs2eZMmVKTcfWIJhKtn04iS8RTOUL3EnmBi34jGfKac1WRJ9w1WqYNk1GioWoD0aPHk2vXr2IjY3l+vXrZGZmYm9vT9euXZk8eXKlb9ITVVM6V9uSz2PsIYBQHuJbdKjYy6OsZQ77GWNmqps+RzdvruWNNzJlwEKIOqzcAlmr1aLRaHB0dMTV1ZXk5GQyMjIYPHhwue2BRFlRUU6sXNmYa9dsUKnA+NZIfWu2KWzGj40MII58bNnDY0Tgyz4eQYODmT3LnGIh6jt3d/dq6aMsKlZRrm7PZWYTzjN8hjvJXKUtb7CMz3iGq7Q3s1cdKhVMny4DF0IohdkCOTY2lrVr1/Lkk0/ywAMPEBMTw7p16+jduzdXrlxh0qRJjBw5shZDVR5zN9oVJVwHchnHbvzYaGjNdoxBFbRmK87WMgohhBC3r2RRrGecq9UU8gj7CCCUR9gHwP/xMHNYyz4eodDoR6nx1AnJ00Iok9kCecOGDbz66qt07NiRf//9l/Xr1zN//nwGDRpERkYGS5YskQLZDOPCuOxKdffyi6E1W3PSuUpbVvFSOa3Z5LKcEEJUt6goJ157zY60tGaYmrrmzjVmsY5ZrKM9V0mmDW/zKuuYxSU6mtijTuYSC1FPmC2QCwsLadeuHQA7duygW7duDBo0CND3QNZoNLUToUKUvSxnnGzNtWaLwJcfGGV2vlrR1Al/f5c631tQCCGUoLxBDDWFPMS3BBDKOHZjg5b9PMR8PmE34yjAzsQedTLNTYh6xmyBPHbsWBYvXkyTJk04c+YMb731FgAxMTEcPHiQgQMH1lqQdV3xzRv6qRRFl+Uak4k32/FjYyVbs5lKti5mthVCCGGp0vm6SBuSmcl6ZhNORy6RQitW8RLhzOYCnc3sTQpjIeorswXyuHHj6NOnD1euXCEgIABXV/182OTkZIYNG8b9999fa0HWdStXNjYkWzWFjCYaPzYaWrOdppsFrdlkGoUQQtS0kvlahZYH+J45rGU832BHAd9zPy/zHjt5gnzsTexBcrUQDUG5XSw6depEp06djB6bPHlyjQakRElJNvTmFH5sNLRmS6M565lJBL4c5W5KLg9dmiRaIYSoHUlJNrQihafZgD9hdOYCqbTkE+YThj9n6VZia7nhToiGyqI+yMI0dWoqZ1/fw3Hddu7id/KxZS+PEoEve3m0RGs2HaCT5CqEENai03Hk3d/Ywhc8wdfYk08MI1jKm0ThRR6O6Fez06HVQtu2hSxadFPytRANlBTIlZWbyx8rYrD9cgejcv+PNv9rzTaPILYwmVT0/aFVKh3odJJkhRDCivZF5JD0ztc8mbmOCZzhX5oRTCBh+JNAz/9tpaN580IZwBBCGEiBbIGoHY5898YpHkn9gidV2xir07dme5+FROBbpjWbjY2Ojz9Ol0QrhBC1LCrKiZXvNKJz0s88ZxfK9PwdOKDhJ4aygsV8xSRycTJsL/laCGGKFMjlsLlyhcQ3d/Hwvq94TneObJyJ0nmxEb9yWrOBVoskWyGEqGV7N+Vxcck2vs0Poxd/kZHfhDD8CcOfU9xp8jmSr4UQpkiBXIrq5k0c9+7Feft2HH75hdbAAUbxJkuIwossGle4D3f3wpoPVAghBOh02B0/jsumTUzfvgdHcjnC3czkM7byJDkVtMhsb251aCFEgyYFMkBhIQ6HDuG0fTuO//0v6txcztt2Yz1vsYmpXDa5YpJpTk5aFi26WXOxCiFEA1S0GFNSkg3u7oUsm38Nn/wvKAj+AtekP7lJIzbiRyhz+IP+Fu3TyUnLG29oazhyIYQSNegC+eCaRDJWf83jWV/SkmRynZtxavBU5h19hh/zhmBq6VFTVCodOp3c9SyEEDWheHEPFYM5RsC1UCa/vAUXcvhddRevEMZmppSz+FKx0vl6yhQXZJFSIURpDa5AVqem4rRzJ3nronjqyh9GrdkOaMeiPmXPv3mm5xYXsbPT0qiRjvR0Ne7uUhQLIURNWv02+N4KI4BQBhBHNs58yVOsU/tzVDu43OdWnK9llVIhRFkNo0DOzcUxOhrbXbtovX8/qsJC4uwG8map1mzkArllF/LQ06FSIQWxEELRCgsLee6552jdujUAM2fOxMPD9Aqf27Zt4/fff6dz587MmjWrNsMEwO7kSZwjIzmevIvGZPEHfXmWYL5gKpk0Ba3kayFEzai1Ark2k3JRmx+PpGPMdf6cSbptON7KQOfuTtacOdyaOJG7HhiJzsIpFKC/HHf0aEqlYxFCiLrk0qVLDBs2jGnTppW73YULF0hISODtt99m+/btnDhxgr59+1ZbHKXnFBcVsqqcHJx27sR50ybs//gDraMjXzn78FHOXI5wDyWnvtnYQKGJe6IlXwshbletFci1lZSL5qptufUE49lNdo4zUTYTcAn0Yuyqsdz8919AP7Jw7VrZ02/WTEtenopbt9SGx+TGOyFEfXH27FliY2OJj4/Hw8MDf39/bGzKTiv7888/ueeee1CpVPTr14+4uLhqK5CL5xTr8+y1a7ZELLzEiG1r6BO3DfXNm+R360bGm2+S4+XFPwfu4MTLTeFWcXHs5KRl0qQcvvrKWfK1EKLaqXQ6nblrVNVq//797N+/HwcHh3KT8p49e7Czs2PMmDGcOXOGuLg4fHx8ymwXHR1NdHQ0ACtXrkSj0QDQtasdly+rmMQ2nMlhBxPJojEeHjoSE3UUFBQAsHmzmmeftSEnpzjhOjvrCAnRD0csW2bDlSv6FkBvvFHIlCnWvdPZ1tbWELuSSNy1T6mxKzVusCx2e3v7WorGWFhYGElJSYZ/9+7dm9GjR9O8eXPWrFnDkCFDGDRoUJnnbd++nQ4dOjB48GCSkpLYs2cP/v7+ZbYzl4vLU5SnncjBh20EEMq9/EouDtg9NRHtrFnohg4FVXF+3rxZbTIvm3vcUkr+3Jkj56QMck7WYWkurrECuaaTcmlFx2rX7g50urJTJ1QqHbm5+aSWuF3Z3CW+usjV1dUodqWQuGufUmNXatxgWezu7u61FE358vPzsbOzA2Dfvn0UFhYybty4Mtvt2bOH5s2bM2zYMC5cuMB3331HQEBAhfsvmffNKcrT49nFLp4gge6EEkAk0zlxreICuzop+XNnjpyTMsg5WYelubjGpliULmpLJmVPT0+Sk5NNPs/R0dEwApGbm0tl63dzUydMLd7h5XWrzhbEQghRE1avXo2XlxceHh4cO3aMCRMmmNzO09OTX375hWHDhnHp0iVatWpVbTEU5em9PMp9HORHRgAq2rYtAGTusBDC+tQVb1I9Vq9ezcWLF9FqtRw7dowOHTqY3M7T05OEhASAKiXlRYtu4uRkfHlN5qQJIYSet7c3a9as4aWXXqJbt2707duXrKws1q5da7Rdjx49uHjxIhs2bGDnzp0MHz682mIoytOF2PIj9wEqydNCiDql1m7S8/b2JigoCJ1Ox6BBgwxJedOmTcyZM8ewXY8ePdi8eTMbNmwgLi6OxYsXV+o4RSPCpqdOSL9LIUTD5uHhwfvvv2/0WKNGjYzyMIBarWbp0qXExsbyyCOP4ObmVm0xlJ+nhRDC+mrtJr3K0Gg0xMbG0qlTJ0NbuIpYMu9NCXNjzFFq7BJ37VNq7EqNG5Q1B7mmWZKL6xIlf+7MkXNSBjkn67D6HOTbYW9vz5AhQ6wdhhBCCCGEaIBqbQ6yEEIIIYQQSlAnp1gIIYQQQghhLQ1qBHnRokXWDqHKlBq7xF37lBq7UuMGZcfe0NXH907OSRnknOq2BlUgCyGEEEIIUREpkIUQQgghhCjBZvny5cutHURt8vT0tHYIVabU2CXu2qfU2JUaNyg79oauPr53ck7KIOdUd8lNekIIIYQQQpQgUyyEEEIIIYQooUEVyFlZWZw4cYLMzExrhyKEqAckpwghRP3UYOYgZ2VlsXLlShwcHIiMjOTee+/FwcHB2mFZJCcnh1WrVhETE8ORI0e45557UKuV8btNeno6b7/9NqNGjbJ2KBb79NNP2blzJ+np6fTq1cva4VSKEl9vpX6+lZxThLH09HSWLVvGgw8+aO1QbptSv0/lUXJONqU+vkdF6tN3qX68Ixa4fPkyvr6+eHl50a9fPy5cuGDtkCx26NAhHnvsMZYsWUKzZs2Ii4uzdkgWycrKIjg4mLy8PGuHYrEjR46g1WpZsWIF169fJzk52dohWUyJrzco9/Ot5JwijEVGRqLRaKwdRrVQ6vfJHCXnZHPq23tUUn36LjWYArlXr15069aNP//8k/Pnz9OtWzdrh2SxMWPG0LdvXwAyMzNp0qSJlSOyjFqt5oUXXsDJycnaoVgsPj6ee++9F4B+/fqRkJBg5Ygsp8TXG5T7+VZyThHFTp06hYODA82aNbN2KNVCqd8nc5Sck82pb+9Rkfr2XbK1dgA1JSwsjKSkJMO/+/Tpw8SJE/n5559xcXHB1rbunrqp2L29vTlz5gzZ2dl19gexubiVJC8vjxYtWgDQqFEjEhMTrRyR5Zydna0dwm2p659vU3Q6nSJyitAzlaPi4+NZuHAhq1atsmJkVafUnxeWUnJOrkh9eY8ACgoK2LFjh6K/S6XV24zu7+9v8vFZs2axZcsWjh8/ztChQ2s5KsuYij0rK4v169fz4osvWiEiy5h7zZXE0dHRcHkoNzcXrVZr5YgaBiV8vk1RqVSKyClCr3SO2r59Ow899BAuLi5Wiuj2KfXnhaXqa06uT+8RwM6dOxX/XSqtwUyx2LlzJzExMYB+grySRtsKCgr48MMPeeqpp2jVqpW1w6nXPD09DZfwLl26hJubm5Ujqv+U+vlWck4ReidPnmT//v0sX76cixcvsnbtWmuHdNuU+n0ypz7m5Pr2HkH9/C41mC4W7dq1Y+vWrRw4cIAmTZowduxYVCqVtcOySHR0NIcOHSI5OZmDBw9ib29P+/btrR2WxQ4ePMjIkSOtHYZF3Nzc2LhxI8nJyRw/fpxp06ZhZ2dn7bAqRUmvNyj3863knCL0Ro0axciRIxk5ciRxcXEsXLjQ2iHdNqV+n8ypDzm5tPr2HkH9/C7JSnpClFLU27ZXr1715mYDIYRQKsnJwhqkQBZCCCGEEKKEBjMHWQghhBBCCEtIgSyEEEIIIUQJUiALIYQQQghRQr3tgyxu3zfffMPu3bvJycnB1tYWe3t75s+fT2pqKvHx8QQGBlo7RCMbNmyge/fut92Ldtu2bQD4+PhUuO3x48dZv349eXl5PPjgg0yePPm2jl0ZP//8M6dPn+bpp582ejw+Pp6vvvqKBtKgRoh6T3JxxbnYmr755hsAxo8fb/T4wYMH6+T7IywjBbIwa/z48YwfP57g4GC6du3KQw89BOi/9NaSnZ3NwYMHefTRR8v8X+lCsaZlZWWxZs0aXnnlFdzd3XnllVfo2bMn/fr1q9bj7N27l5EjR5ZpwD506FBZmEKIBkBycd2wbds2k8V66cJY1A8yxUIoSnZ2Nvv27bN2GIB+3fm2bdvSvXt3GjduzNChQ/ntt9+q/Tj79u0jOzu72vcrhBBVVZdycW3Zvn27tUMQtUhGkEWVFBYWEhQURFxcHL169eLFF19EpVLxww8/sGPHDjQaDT4+PowePRrQX4L673//i729PTNmzGDAgAEABAYGMnfuXHbs2EHLli157rnnAEzu55NPPuHEiRNkZWUxe/ZsOnbsyOLFiw0xBQcH07t3b6NFMoqOCzBlyhRGjBgB6EcCvv/+e9RqtdHjlZGSkmK0CpKrqyuxsbGkpKTw+uuvExwcbDgW6C8THj16lMjISDQaDffccw8zZ840bD927Fh27dpF06ZNWbJkCb/++is7duwgMzOTV155BbVazZo1a3BwcAAqd/kuOTmZTz/9lGvXrtGzZ0/mzZuHg4MDp0+fZu3atdy8eZMuXbqwYMEC7O3tK/1aCCGsQ3Kx3pYtW/j+++9p164dWVlZzJgxA8BoulnJuL799lu+/vprtFotY8eO5YknnjBMT/P09CQmJoZ27dqxePFitm3bZlg1c/bs2TRu3JgPP/zQcOzKTAU5d+4cYWFhpKWlMXjwYPz9/VGpVBw7doyIiAhu3brFXXfdxZw5c1CrZQzTmuTVF1Vy5MgRhg4dSkhICKdPn+bixYtcuXKFPXv2sHLlSt577z2++uor0tPTOXHiBDExMaxatYqXXnqJkJAQ0tPTDfuKjIzkySef5JlnngEwu5/58+fzzjvv4OrqSnh4uFFCNuXEiRP8+OOPvP/++7z++uusW7eO3NxcUlNT+euvv/jkk09YsWIFkZGRVXoNNBoNtrbFv2Pa2dmh0WjKfU50dDQLFiwgJCSE+Ph4rl69CkBaWhrp6emEhobi6urK4cOHefjhhwkPD8fV1ZV33nmH8PBwQ3FcWatXr2bChAmEhYXh7OzMd999B+iXSx4zZgzh4eF07NiRxMTEKu1fCGEdkovh9OnT/PTTT3z88cdMnz6dy5cvl7u9RqPh0KFDrFixgqCgIHbv3k1ubi4AZ86cwc3NjdDQUHJycoiLi2PatGmEh4cDEB4eblQcV0ZBQQFBQUE8++yzhISEkJKSwrFjxwDYunUrM2bMICwsDFtbW1JSUqp0DFF9ZARZVImnpyeDBg0CwN3dnZycHC5fvkxKSgovvPACoE9CSUlJxMXF8Z///IdGjRrRqFEjunbtSkJCAkOGDAH087d69Ohh2PepU6dM7qeyKyjFxcUxfPhwXFxccHFxISIiAgBHR0dmzJjBnj17iI+PJyMjo0qvgYODA/n5+YZjaTSaCkdf586dyy+//MLXX3/N33//TUZGBq1atUKlUjFp0iTUajWenp7k5ORUKSZTbt26xfnz5wkJCQFAq9UaCvsePXpw4MABCgsLGTFiBO7u7tV2XCFEzZNcDGfPnqV///64uLjg6elJx44dTW5XtC6avb09gYGB/PjjjyQkJJCVlUVmZiYATZs2ZcyYMahUKjp06FCtuTgpKYl//vmHFStWAPqC+erVq9x999306NGD3bt3c+PGDSZOnEjLli2r7biiaqRAFlXSunVrw99VKhWgTz4jRoxg9uzZgL4ws7Oz4/jx4+Xuq2vXrkb/Nref2/Xrr7/SrVs3rl+/TkhICJMmTeK+++6r8h3GrVu35pdffgFgz549pKWl0bt37zLbpaWl0aJFC7Kzs1m0aBHjx4/Hy8vLkJABmjVrVuXR4YrodDrs7OwMIyAFBQWGke7HH3+cfv36cfLkSd58803mzp1L3759ayQOIUT1k1ysP++SiwJrtVqT2/37778A/P3337z22mtMmjQJX19frly5YtjGzc3N8DoW/VlddDodbdq04aOPPgL0v3AUxTpr1ixOnz7NyZMnWbRoEcuWLaN9+/bVenxROTLFQlSJqcTRp08f4uLiSE9P59atW7z00ktcvXqV/v37c/jwYbKzs7l27Rrnzp0zGqWwdD8AjRs35ubNm+Tl5ZGXl1fulIZ+/frx008/kZOTQ1paGp999hlqtZqzZ8/SuXNnhg8fzu+//17l16B3794kJSWRkJDAgw8+yNWrVxk4cCDOzs5kZmai0WhIS0vjyJEjgD4p29jYMGbMGDQaDRcuXDDsq7xE3LhxY1JTU9HpdGRlZVU6TmdnZ9q3b8+hQ4cA+PLLLw1z5lasWEFubi7jxo2jd+/enD9/vtL7F0JYj+Ri6N69O7///jvZ2dmcP3/eMMXCycmJGzduoNPpuHz5Mn/++ScAFy9exM3Njfvvv5+kpCRu3Lhh2FdFufiff/6hoKCgSiPLbdu2JS8vj7/++gutVsuaNWs4cOAAAAsWLKBFixZ4eXnRtm1bLl26VOn9i+olI8ii2nh4eDBx4kQWL16MVqvlkUceMVzqGjFiBAsXLsTe3p65c+eWe4muvP04OTnx+OOPM2/ePHQ6HW+99ZbRCEpJ/fr1IzExkRdffBEbGxv8/Pxo1qwZQ4YMISYmhoCAAO69914cHR1JSkqq9PQCFxcX5s2bR1BQEHl5eTRu3BhbW1saNWrEqFGjWLp0Ka6urgwbNgyADh060KFDB/z9/enSpQseHh4kJycb3ehnio+PD8HBwdy6dYuZM2cyfPjwSsUJMG/ePD799FMiIyPp1KkT8+bNA/QjyKGhody8eZM77riDqVOnVnrfQoi6paHl4i5dunDffffx/PPP4+HhYYixU6dOeHh4sHTpUtzc3Bg8eDAAd955J3v37mX27Nn07dsXNzc3kpOTje4pMWXq1KksXbqU/Px8Fi5cSM+ePSsVp62tLc8//zzh4eFkZGRw5513Glr2eXt7s3z5cvLy8ujSpYth2oywHpWu5HUJIUSVnT9/no4dO2JjY2PtUIQQosFavnw5kyZNMjnlTQhLyQiyENWkc+fO1g5BCCGEENVARpCFEEIIIYQoQW7SE0IIIYQQogQpkIUQQgghhChBCmQhhBBCCCFKkAJZCCGEEEKIEqRAFkIIIYQQooT/B0GVMvsuPqclAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 模拟ARCH时间序列\n",
    "np.random.seed(2)\n",
    "a0 = 2\n",
    "a1 = .5\n",
    "y = w = np.random.normal(size=1000)\n",
    "Y = np.empty_like(y)\n",
    "for t in range(1,len(y)):\n",
    "    Y[t] = w[t] * np.sqrt((a0 + a1*y[t-1]**2))\n",
    "ts_plot(Y, lags=30,title='模拟ARCH')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-30T02:47:39.146079Z",
     "start_time": "2019-08-30T02:47:39.043351Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ts_code</th>\n",
       "      <th>trade_date</th>\n",
       "      <th>close</th>\n",
       "      <th>open</th>\n",
       "      <th>high</th>\n",
       "      <th>low</th>\n",
       "      <th>pre_close</th>\n",
       "      <th>change</th>\n",
       "      <th>pct_chg</th>\n",
       "      <th>vol</th>\n",
       "      <th>amount</th>\n",
       "      <th>ret</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2005-01-04</th>\n",
       "      <td>000300.SH</td>\n",
       "      <td>20050104</td>\n",
       "      <td>982.794</td>\n",
       "      <td>994.769</td>\n",
       "      <td>994.769</td>\n",
       "      <td>980.658</td>\n",
       "      <td>1000.000</td>\n",
       "      <td>-17.206</td>\n",
       "      <td>-1.7206</td>\n",
       "      <td>7412868.94</td>\n",
       "      <td>4431977.418</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-01-05</th>\n",
       "      <td>000300.SH</td>\n",
       "      <td>20050105</td>\n",
       "      <td>992.564</td>\n",
       "      <td>981.577</td>\n",
       "      <td>997.323</td>\n",
       "      <td>979.877</td>\n",
       "      <td>982.794</td>\n",
       "      <td>9.770</td>\n",
       "      <td>0.9941</td>\n",
       "      <td>7119108.98</td>\n",
       "      <td>4529208.214</td>\n",
       "      <td>0.009892</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-01-06</th>\n",
       "      <td>000300.SH</td>\n",
       "      <td>20050106</td>\n",
       "      <td>983.174</td>\n",
       "      <td>993.331</td>\n",
       "      <td>993.788</td>\n",
       "      <td>980.330</td>\n",
       "      <td>992.564</td>\n",
       "      <td>-9.390</td>\n",
       "      <td>-0.9460</td>\n",
       "      <td>6288029.05</td>\n",
       "      <td>3921015.420</td>\n",
       "      <td>-0.009505</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-01-07</th>\n",
       "      <td>000300.SH</td>\n",
       "      <td>20050107</td>\n",
       "      <td>983.958</td>\n",
       "      <td>983.045</td>\n",
       "      <td>995.711</td>\n",
       "      <td>979.812</td>\n",
       "      <td>983.174</td>\n",
       "      <td>0.784</td>\n",
       "      <td>0.0797</td>\n",
       "      <td>7298694.09</td>\n",
       "      <td>4737469.399</td>\n",
       "      <td>0.000797</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-01-10</th>\n",
       "      <td>000300.SH</td>\n",
       "      <td>20050110</td>\n",
       "      <td>993.879</td>\n",
       "      <td>983.760</td>\n",
       "      <td>993.959</td>\n",
       "      <td>979.789</td>\n",
       "      <td>983.958</td>\n",
       "      <td>9.921</td>\n",
       "      <td>1.0083</td>\n",
       "      <td>5791697.99</td>\n",
       "      <td>3762932.890</td>\n",
       "      <td>0.010032</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              ts_code trade_date    close     open     high      low  \\\n",
       "2005-01-04  000300.SH   20050104  982.794  994.769  994.769  980.658   \n",
       "2005-01-05  000300.SH   20050105  992.564  981.577  997.323  979.877   \n",
       "2005-01-06  000300.SH   20050106  983.174  993.331  993.788  980.330   \n",
       "2005-01-07  000300.SH   20050107  983.958  983.045  995.711  979.812   \n",
       "2005-01-10  000300.SH   20050110  993.879  983.760  993.959  979.789   \n",
       "\n",
       "            pre_close  change  pct_chg         vol       amount       ret  \n",
       "2005-01-04   1000.000 -17.206  -1.7206  7412868.94  4431977.418       NaN  \n",
       "2005-01-05    982.794   9.770   0.9941  7119108.98  4529208.214  0.009892  \n",
       "2005-01-06    992.564  -9.390  -0.9460  6288029.05  3921015.420 -0.009505  \n",
       "2005-01-07    983.174   0.784   0.0797  7298694.09  4737469.399  0.000797  \n",
       "2005-01-10    983.958   9.921   1.0083  5791697.99  3762932.890  0.010032  "
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-30T02:54:51.658284Z",
     "start_time": "2019-08-30T02:54:51.650306Z"
    }
   },
   "outputs": [],
   "source": [
    "def ret_plot(ts, title=''):\n",
    "    ts1=ts**2\n",
    "    ts2=np.abs(ts)\n",
    "    with plt.style.context('ggplot'):    \n",
    "        fig = plt.figure(figsize=(12, 6))\n",
    "        layout = (2, 1)\n",
    "        ts1_ax = plt.subplot2grid(layout, (0, 0), colspan=2)\n",
    "        ts2_ax = plt.subplot2grid(layout, (1, 0))\n",
    "        ts1.plot(ax=ts1_ax)\n",
    "        ts1_ax.set_title(title+'日收益率平方')\n",
    "        ts2.plot(ax=ts2_ax)\n",
    "        ts2_ax.set_title(title+'日收益率绝对值')\n",
    "        plt.tight_layout()\n",
    "    return"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-30T02:54:52.685690Z",
     "start_time": "2019-08-30T02:54:52.218934Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ret_plot(df.ret.dropna(), title='沪深300')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-30T02:53:11.306891Z",
     "start_time": "2019-08-30T02:53:11.297949Z"
    }
   },
   "source": [
    "从沪深300的日收益平方和绝对值走势图可以看出，存在较明显的波动聚集的现象，初步可以判断出沪深300日收益序列存在ARCH效应。下面使用Ljung-Box统计量对收益率平方的自相关性进行统计检验。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#计算Q统计量和LB统计量都是用python中statsmodels模块中的acorr_ljungbox方法. 默认情况下, acorr_ljungbox只计算LB统计量, 只有当参数boxpierce=True时, 才会输出Q统计量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-30T06:59:38.568962Z",
     "start_time": "2019-08-30T06:59:38.558988Z"
    }
   },
   "outputs": [],
   "source": [
    "def whitenoise_test(ts):\n",
    "    '''计算box pierce 和 box ljung统计量'''\n",
    "    from statsmodels.stats.diagnostic import acorr_ljungbox\n",
    "    q,p=acorr_ljungbox(ts)\n",
    "    with plt.style.context('ggplot'):    \n",
    "        fig = plt.figure(figsize=(10, 4))\n",
    "        axes = fig.subplots(1,2)\n",
    "        axes[0].plot(q, label='Q统计量')\n",
    "        axes[0].set_ylabel('Q')\n",
    "        axes[1].plot(p, label='p值')\n",
    "        axes[1].set_ylabel('P')\n",
    "        axes[0].legend()\n",
    "        axes[1].legend()\n",
    "        plt.tight_layout()\n",
    "    return"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-30T06:59:46.843266Z",
     "start_time": "2019-08-30T06:59:46.474206Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ret=df.ret.dropna()\n",
    "whitenoise_test(ret**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由LB白噪声检验可以看出，Q统计量的p值都在0.05以下, 表明原假设成立的概率极小, 可以拒绝沪深300收益率的平方是白噪音序列的原假设，说明原序列（沪深300收益率）存在ARCH效应。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GARCH模型\n",
    "\n",
    "GARCH模型是Bollerslev在1986年提出来的，全称为广义自回归条件异方差模型，Generalized Autoregressive Conditionally Heteroskedastic Models - GARCH(p,q)，是ARCH模型的扩展。GARCH模型认为时间序列每个时间点变量的波动率是最近p个时间点残差平方的线性组合，与最近q个时间点变量波动率的线性组合加起来得到，即GARCH模型的条件方差不仅是滞后残差平方的线性函数，还是滞后条件方差的线性函数，因而GARCH模型适合在计算量不大时，方便地描述高阶的ARCH过程，具有更大的适用性。\n",
    "\n",
    "$$\\varepsilon_t =\\sigma_t\\omega_t\\\\ \\sigma_t^2 =\\alpha_0+\\sum_{i=1}^p\\alpha_i\\varepsilon_{t-i}^2+\\sum_{j=1}^q\\beta_j\\sigma_{t-j}^2$$\n",
    "\n",
    "其中，$\\omega_t$为白噪音，$\\sum_{i=1}^p\\alpha_i+\\sum_{j=1}^q\\beta_j<1$，否则模型将是非平稳的。GARCH模型的估计与ARCH模型类似，具体推导过程参见计量经济学相关书籍。在实际应用找那个，GARCH(1,1)和GARCH(2,1)一般可以满足对自回归条件异方差的描述。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ARCH与GARCH模型的不足之处：\n",
    "- 模型都假定波动是对称的，即过去的波动对现在条件方差的影响是相同的，但学术上的实证结果却表明，当坏（好）消息发布时，股票收益率的波动会增加（减小）。\n",
    "- 模型对参数的限制条件较强，尤其是高阶模型，参数需要满足的约束非常复杂。\n",
    "- 模型并没有提供关于波动率变化的更进一步解释，而仅仅是拟合波动率变化的统计行为，要进一步理解波动率的动态变化还需要其他理论。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-30T07:11:42.026300Z",
     "start_time": "2019-08-30T07:11:40.888342Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 模拟GARCH(1, 1) 过程\n",
    "np.random.seed(1)\n",
    "a0 = 0.2\n",
    "a1 = 0.5\n",
    "b1 = 0.3\n",
    "n = 10000\n",
    "w = np.random.normal(size=n)\n",
    "garch = np.zeros_like(w)\n",
    "sigsq = np.zeros_like(w)\n",
    "for i in range(1, n):\n",
    "    sigsq[i] = a0 + a1*(garch[i-1]**2) + b1*sigsq[i-1]\n",
    "    garch[i] = w[i] * np.sqrt(sigsq[i])\n",
    "_ = ts_plot(garch, lags=30,title='模拟GARCH')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "arch.arch_model(y, x=None, mean='Constant', lags=0, vol='Garch', p=1, o=0, q=1, power=2.0, dist='Normal', hold_back=None)\n",
    "使用便利函数以便arch模型快速初始化：\n",
    "各参数含义:\t\n",
    "y : 因变量；x : 外生变量.如果没有外生变量则模型自动省略。  \n",
    "mean: 均值模型的名称.目前支持: ‘Constant’, ‘Zero’, ‘ARX’ 以及 ‘HARX’。  \n",
    "lags:用来表明滞后阶，或者使用表明滞后位置的整数列表。  \n",
    "vol :波动率模型的名称，目前支持: ‘GARCH’ （默认）, ‘ARCH’, ‘EGARCH’, ‘FIARCH’ 以及 ‘HARCH’。  \n",
    "p :– 对称随机数的滞后阶,即扣除均值后的部分。  \n",
    "o ：非对称数据的滞后阶。  \n",
    "q ：波动率或对应变量的滞后阶。  \n",
    "power：使用GARCH或相关模型的精度。  \n",
    "dist：误差分布的名称，目前支持下列分布：正态分布: ‘normal’, ‘gaussian’ (default)；学生T分布: ‘t’, ‘studentst’；偏态学生T分布: ‘skewstudent’, ‘skewt’；通用误差分布: ‘ged’, ‘generalized error”。  \n",
    "hold_back：估计模型参数时样本最初需排除的观察值数. 对同一样本使用不同的滞后阶来比较模型时使用该参数。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-30T07:52:35.390018Z",
     "start_time": "2019-08-30T07:52:35.379039Z"
    }
   },
   "source": [
    "模型可以从三个方面构建：\n",
    "（1）均值模型(arch.mean)  \n",
    "- 0均值 (ZeroMean) - 适合单独使用模型残差。\n",
    "- 常数均值(ConstantMean) - 适用于多数流动金融资产。\n",
    "- 可选外生变量自回归 (ARX)\n",
    "- 可选外生变量异方差自回归\n",
    "- 仅仅外生回归 (LS)  \n",
    "\n",
    "（2）波动率过程 (arch.volatility)\n",
    "- ARCH (ARCH)\n",
    "- GARCH (GARCH)\n",
    "- GJR-GARCH (GARCH using o argument)\n",
    "- TARCH/ZARCH (GARCH using power argument set to 1)\n",
    "- Power GARCH and Asymmetric Power GARCH (GARCH using power)\n",
    "- 使用估计系数的指数加权平均移动方差 (EWMAVariance)\n",
    "- 异方差 ARCH (HARCH)\n",
    "- 参数模型  \n",
    "  指数加权平均移动方差,即为风险指标 RiskMetrics (EWMAVariance)  \n",
    "   EWMAs的加权平均数,即为 RiskMetrics 2006 方法风险指标 (RiskMetrics2006)\n",
    "\n",
    "（3）分布 (arch.distribution)\n",
    "- Normal (Normal)\n",
    "- Standardized Students’s T (StudentsT)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-30T07:35:51.510863Z",
     "start_time": "2019-08-30T07:35:51.371238Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.    (Exit mode 0)\n",
      "            Current function value: 12199.134540521049\n",
      "            Iterations: 14\n",
      "            Function evaluations: 94\n",
      "            Gradient evaluations: 14\n",
      "                     Constant Mean - GARCH Model Results                      \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                      -0.000\n",
      "Mean Model:             Constant Mean   Adj. R-squared:                 -0.000\n",
      "Vol Model:                      GARCH   Log-Likelihood:               -12199.1\n",
      "Distribution:                  Normal   AIC:                           24406.3\n",
      "Method:            Maximum Likelihood   BIC:                           24435.1\n",
      "                                        No. Observations:                10000\n",
      "Date:                Fri, Aug 30 2019   Df Residuals:                     9996\n",
      "Time:                        15:35:51   Df Model:                            4\n",
      "                                  Mean Model                                  \n",
      "==============================================================================\n",
      "                  coef    std err          t      P>|t|       95.0% Conf. Int.\n",
      "------------------------------------------------------------------------------\n",
      "mu         -5.9729e-07  6.742e-03 -8.859e-05      1.000 [-1.321e-02,1.321e-02]\n",
      "                            Volatility Model                            \n",
      "========================================================================\n",
      "                 coef    std err          t      P>|t|  95.0% Conf. Int.\n",
      "------------------------------------------------------------------------\n",
      "omega          0.2157  1.014e-02     21.282 1.678e-100 [  0.196,  0.236]\n",
      "alpha[1]       0.4939  1.960e-02     25.199 4.134e-140 [  0.455,  0.532]\n",
      "beta[1]        0.2781  1.841e-02     15.107  1.452e-51 [  0.242,  0.314]\n",
      "========================================================================\n",
      "\n",
      "Covariance estimator: robust\n"
     ]
    }
   ],
   "source": [
    "# 使用模拟的数据进行 GARCH(1, 1) 模型拟合\n",
    "#arch_model默认建立GARCH（1,1）模型\n",
    "am = arch_model(garch)\n",
    "res = am.fit(update_freq=0)\n",
    "#update_freq=0表示不输出中间结果，只输出最终结果\n",
    "print(res.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#拟合沪深300收益率数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-30T08:54:56.885085Z",
     "start_time": "2019-08-30T08:54:56.695594Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.    (Exit mode 0)\n",
      "            Current function value: 6393.314593143568\n",
      "            Iterations: 18\n",
      "            Function evaluations: 158\n",
      "            Gradient evaluations: 18\n",
      "                      Constant Mean - GJR-GARCH Model Results                       \n",
      "====================================================================================\n",
      "Dep. Variable:                          ret   R-squared:                      -0.000\n",
      "Mean Model:                   Constant Mean   Adj. R-squared:                 -0.000\n",
      "Vol Model:                        GJR-GARCH   Log-Likelihood:               -6393.31\n",
      "Distribution:      Standardized Student's t   AIC:                           12798.6\n",
      "Method:                  Maximum Likelihood   BIC:                           12835.7\n",
      "                                              No. Observations:                 3562\n",
      "Date:                      Fri, Aug 30 2019   Df Residuals:                     3556\n",
      "Time:                              16:54:56   Df Model:                            6\n",
      "                                Mean Model                                \n",
      "==========================================================================\n",
      "                 coef    std err          t      P>|t|    95.0% Conf. Int.\n",
      "--------------------------------------------------------------------------\n",
      "mu             0.0682  1.958e-02      3.484  4.941e-04 [2.984e-02,  0.107]\n",
      "                               Volatility Model                              \n",
      "=============================================================================\n",
      "                 coef    std err          t      P>|t|       95.0% Conf. Int.\n",
      "-----------------------------------------------------------------------------\n",
      "omega      8.6154e-03  4.022e-03      2.142  3.220e-02  [7.319e-04,1.650e-02]\n",
      "alpha[1]       0.0526  7.935e-03      6.632  3.322e-11  [3.707e-02,6.817e-02]\n",
      "gamma[1]   3.3441e-03  1.098e-02      0.305      0.761 [-1.818e-02,2.487e-02]\n",
      "beta[1]        0.9457  8.087e-03    116.944      0.000      [  0.930,  0.962]\n",
      "                              Distribution                              \n",
      "========================================================================\n",
      "                 coef    std err          t      P>|t|  95.0% Conf. Int.\n",
      "------------------------------------------------------------------------\n",
      "nu             5.1656      0.431     11.988  4.107e-33 [  4.321,  6.010]\n",
      "========================================================================\n",
      "\n",
      "Covariance estimator: robust\n"
     ]
    }
   ],
   "source": [
    "Y=ret*100.0\n",
    "am = arch_model(Y,p=1, o=1, q=1, dist='StudentsT')\n",
    "res = am.fit(update_freq=0)\n",
    "#update_freq=0表示不输出中间结果，只输出最终结果\n",
    "print(res.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-30T08:58:11.821390Z",
     "start_time": "2019-08-30T08:58:11.325718Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "res.resid.plot(figsize=(12,5))\n",
    "plt.title('沪深300收益率拟合GARCH(1,1)残差',size=15)\n",
    "plt.show()\n",
    "res.conditional_volatility.plot(figsize=(12,5),color='r')\n",
    "plt.title('沪深300收益率条件方差',size=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-30T09:03:45.086987Z",
     "start_time": "2019-08-30T09:03:45.041109Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>close</th>\n",
       "      <th>ret</th>\n",
       "      <th>garch</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2005-01-05</th>\n",
       "      <td>992.564</td>\n",
       "      <td>0.989196</td>\n",
       "      <td>1.330652</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-01-06</th>\n",
       "      <td>983.174</td>\n",
       "      <td>-0.950538</td>\n",
       "      <td>1.314440</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-01-07</th>\n",
       "      <td>983.958</td>\n",
       "      <td>0.079710</td>\n",
       "      <td>1.304088</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-01-10</th>\n",
       "      <td>993.879</td>\n",
       "      <td>1.003226</td>\n",
       "      <td>1.271587</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-01-11</th>\n",
       "      <td>997.135</td>\n",
       "      <td>0.327070</td>\n",
       "      <td>1.258477</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              close       ret     garch\n",
       "2005-01-05  992.564  0.989196  1.330652\n",
       "2005-01-06  983.174 -0.950538  1.314440\n",
       "2005-01-07  983.958  0.079710  1.304088\n",
       "2005-01-10  993.879  1.003226  1.271587\n",
       "2005-01-11  997.135  0.327070  1.258477"
      ]
     },
     "execution_count": 154,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hs300=pd.DataFrame()\n",
    "hs300['close']=df.loc[res.resid.index]['close']\n",
    "hs300['ret']=df.loc[res.resid.index]['ret']*100\n",
    "hs300['garch']=res.conditional_volatility\n",
    "hs300.head()"
   ]
  },
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    "波动建模有以下量化投资方向的应用：\n",
    "\n",
    "期权定价：波动率是影响期权价值的重要因素；  \n",
    "风险度量和管理：在VaR的计算中波动率是主要影响因素，根据波动率决定交易策略的杠杆；  \n",
    "资产价格预测和模拟：通过Garch簇模型对资产价格的时间序列进行预测和模拟；  \n",
    "调仓：盯住波动率的调仓策略，如一个tracing指数的策略；  \n",
    "作为交易标的：在VIX、ETF以及远期中波动率作为标的可以直接交易。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "模拟时间序列变量的波动性的变化，它在金融工程学的实证研究中应用广泛，使人们能更加准确地把握风险（波动性），尤其是应用在风险价值（Value at Risk）理论中"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[参考资料](https://blog.csdn.net/liuxoxo?t=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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